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Finding the Third Proportional to 34,001 and 62,413

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Solution

The third proportional to 34,001 and 62,413 is: 114,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001 : 62,413 = 62,413 : x
  2. Step 2: Convert to fraction form
    34,001/62,413 = 62,413/x
  3. Step 3: Cross multiply
    34,001x = 62,413 × 62,413
  4. Step 4: Simplify right side
    34,001x = 3,895,382,569
  5. Step 5: Solve for x
    x = 3,895,382,569/34,001
  6. Step 6: Final answer
    x = 114,566.71

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.