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Finding the Third Proportional to 37,917 and 59,475

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Solution

The third proportional to 37,917 and 59,475 is: 93,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,917 : 59,475 = 59,475 : x
  2. Step 2: Convert to fraction form
    37,917/59,475 = 59,475/x
  3. Step 3: Cross multiply
    37,917x = 59,475 × 59,475
  4. Step 4: Simplify right side
    37,917x = 3,537,275,625
  5. Step 5: Solve for x
    x = 3,537,275,625/37,917
  6. Step 6: Final answer
    x = 93,289.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.