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Finding the Third Proportional to 29,379 and 63,132

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Solution

The third proportional to 29,379 and 63,132 is: 135,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,379 : 63,132 = 63,132 : x
  2. Step 2: Convert to fraction form
    29,379/63,132 = 63,132/x
  3. Step 3: Cross multiply
    29,379x = 63,132 × 63,132
  4. Step 4: Simplify right side
    29,379x = 3,985,649,424
  5. Step 5: Solve for x
    x = 3,985,649,424/29,379
  6. Step 6: Final answer
    x = 135,663.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.