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Finding the Third Proportional to 29,688 and 62,688

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Solution

The third proportional to 29,688 and 62,688 is: 132,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 62,688 = 62,688 : x
  2. Step 2: Convert to fraction form
    29,688/62,688 = 62,688/x
  3. Step 3: Cross multiply
    29,688x = 62,688 × 62,688
  4. Step 4: Simplify right side
    29,688x = 3,929,785,344
  5. Step 5: Solve for x
    x = 3,929,785,344/29,688
  6. Step 6: Final answer
    x = 132,369.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.