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Finding the Third Proportional to 29,472 and 63,650

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Solution

The third proportional to 29,472 and 63,650 is: 137,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472 : 63,650 = 63,650 : x
  2. Step 2: Convert to fraction form
    29,472/63,650 = 63,650/x
  3. Step 3: Cross multiply
    29,472x = 63,650 × 63,650
  4. Step 4: Simplify right side
    29,472x = 4,051,322,500
  5. Step 5: Solve for x
    x = 4,051,322,500/29,472
  6. Step 6: Final answer
    x = 137,463.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.