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Finding the Third Proportional to 38,748 and 59,874

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Solution

The third proportional to 38,748 and 59,874 is: 92,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,748 : 59,874 = 59,874 : x
  2. Step 2: Convert to fraction form
    38,748/59,874 = 59,874/x
  3. Step 3: Cross multiply
    38,748x = 59,874 × 59,874
  4. Step 4: Simplify right side
    38,748x = 3,584,895,876
  5. Step 5: Solve for x
    x = 3,584,895,876/38,748
  6. Step 6: Final answer
    x = 92,518.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.