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Finding the Third Proportional to 29,396 and 63,438

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Solution

The third proportional to 29,396 and 63,438 is: 136,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,396 : 63,438 = 63,438 : x
  2. Step 2: Convert to fraction form
    29,396/63,438 = 63,438/x
  3. Step 3: Cross multiply
    29,396x = 63,438 × 63,438
  4. Step 4: Simplify right side
    29,396x = 4,024,379,844
  5. Step 5: Solve for x
    x = 4,024,379,844/29,396
  6. Step 6: Final answer
    x = 136,902.29

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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.