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Finding the Third Proportional to 22,663.50 and 29,508

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Solution

The third proportional to 22,663.50 and 29,508 is: 38,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.50 : 29,508 = 29,508 : x
  2. Step 2: Convert to fraction form
    22,663.50/29,508 = 29,508/x
  3. Step 3: Cross multiply
    22,663.50x = 29,508 × 29,508
  4. Step 4: Simplify right side
    22,663.50x = 870,722,064
  5. Step 5: Solve for x
    x = 870,722,064/22,663.50
  6. Step 6: Final answer
    x = 38,419.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.