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Finding the Third Proportional to 29,435 and 63,079

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Solution

The third proportional to 29,435 and 63,079 is: 135,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,435 : 63,079 = 63,079 : x
  2. Step 2: Convert to fraction form
    29,435/63,079 = 63,079/x
  3. Step 3: Cross multiply
    29,435x = 63,079 × 63,079
  4. Step 4: Simplify right side
    29,435x = 3,978,960,241
  5. Step 5: Solve for x
    x = 3,978,960,241/29,435
  6. Step 6: Final answer
    x = 135,177.86

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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.