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Finding the Third Proportional to 11,821.50 and 17,733

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Solution

The third proportional to 11,821.50 and 17,733 is: 26,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.50 : 17,733 = 17,733 : x
  2. Step 2: Convert to fraction form
    11,821.50/17,733 = 17,733/x
  3. Step 3: Cross multiply
    11,821.50x = 17,733 × 17,733
  4. Step 4: Simplify right side
    11,821.50x = 314,459,289
  5. Step 5: Solve for x
    x = 314,459,289/11,821.50
  6. Step 6: Final answer
    x = 26,600.63

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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.