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Finding the Third Proportional to 29,164 and 62,474

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Solution

The third proportional to 29,164 and 62,474 is: 133,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164 : 62,474 = 62,474 : x
  2. Step 2: Convert to fraction form
    29,164/62,474 = 62,474/x
  3. Step 3: Cross multiply
    29,164x = 62,474 × 62,474
  4. Step 4: Simplify right side
    29,164x = 3,903,000,676
  5. Step 5: Solve for x
    x = 3,903,000,676/29,164
  6. Step 6: Final answer
    x = 133,829.40

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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.