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Finding the Third Proportional to 29,138 and 62,524

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Solution

The third proportional to 29,138 and 62,524 is: 134,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138 : 62,524 = 62,524 : x
  2. Step 2: Convert to fraction form
    29,138/62,524 = 62,524/x
  3. Step 3: Cross multiply
    29,138x = 62,524 × 62,524
  4. Step 4: Simplify right side
    29,138x = 3,909,250,576
  5. Step 5: Solve for x
    x = 3,909,250,576/29,138
  6. Step 6: Final answer
    x = 134,163.31

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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.