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Finding the Third Proportional to 17,822 and 26,733

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Solution

The third proportional to 17,822 and 26,733 is: 40,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822 : 26,733 = 26,733 : x
  2. Step 2: Convert to fraction form
    17,822/26,733 = 26,733/x
  3. Step 3: Cross multiply
    17,822x = 26,733 × 26,733
  4. Step 4: Simplify right side
    17,822x = 714,653,289
  5. Step 5: Solve for x
    x = 714,653,289/17,822
  6. Step 6: Final answer
    x = 40,099.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.