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Finding the Third Proportional to 42,394 and 62,867

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Solution

The third proportional to 42,394 and 62,867 is: 93,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,394 : 62,867 = 62,867 : x
  2. Step 2: Convert to fraction form
    42,394/62,867 = 62,867/x
  3. Step 3: Cross multiply
    42,394x = 62,867 × 62,867
  4. Step 4: Simplify right side
    42,394x = 3,952,259,689
  5. Step 5: Solve for x
    x = 3,952,259,689/42,394
  6. Step 6: Final answer
    x = 93,226.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.