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Finding the Third Proportional to 29,926 and 63,092

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Solution

The third proportional to 29,926 and 63,092 is: 133,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,926 : 63,092 = 63,092 : x
  2. Step 2: Convert to fraction form
    29,926/63,092 = 63,092/x
  3. Step 3: Cross multiply
    29,926x = 63,092 × 63,092
  4. Step 4: Simplify right side
    29,926x = 3,980,600,464
  5. Step 5: Solve for x
    x = 3,980,600,464/29,926
  6. Step 6: Final answer
    x = 133,014.79

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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.