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Finding the Third Proportional to 29,899 and 64,092

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Solution

The third proportional to 29,899 and 64,092 is: 137,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,899 : 64,092 = 64,092 : x
  2. Step 2: Convert to fraction form
    29,899/64,092 = 64,092/x
  3. Step 3: Cross multiply
    29,899x = 64,092 × 64,092
  4. Step 4: Simplify right side
    29,899x = 4,107,784,464
  5. Step 5: Solve for x
    x = 4,107,784,464/29,899
  6. Step 6: Final answer
    x = 137,388.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.