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Finding the Third Proportional to 19,534 and 29,688

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Solution

The third proportional to 19,534 and 29,688 is: 45,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534 : 29,688 = 29,688 : x
  2. Step 2: Convert to fraction form
    19,534/29,688 = 29,688/x
  3. Step 3: Cross multiply
    19,534x = 29,688 × 29,688
  4. Step 4: Simplify right side
    19,534x = 881,377,344
  5. Step 5: Solve for x
    x = 881,377,344/19,534
  6. Step 6: Final answer
    x = 45,120.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.