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Finding the Third Proportional to 29,140 and 62,435

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Solution

The third proportional to 29,140 and 62,435 is: 133,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140 : 62,435 = 62,435 : x
  2. Step 2: Convert to fraction form
    29,140/62,435 = 62,435/x
  3. Step 3: Cross multiply
    29,140x = 62,435 × 62,435
  4. Step 4: Simplify right side
    29,140x = 3,898,129,225
  5. Step 5: Solve for x
    x = 3,898,129,225/29,140
  6. Step 6: Final answer
    x = 133,772.45

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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.