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Finding the Third Proportional to 32,822 and 78,767

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Solution

The third proportional to 32,822 and 78,767 is: 189,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822 : 78,767 = 78,767 : x
  2. Step 2: Convert to fraction form
    32,822/78,767 = 78,767/x
  3. Step 3: Cross multiply
    32,822x = 78,767 × 78,767
  4. Step 4: Simplify right side
    32,822x = 6,204,240,289
  5. Step 5: Solve for x
    x = 6,204,240,289/32,822
  6. Step 6: Final answer
    x = 189,026.88

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.