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Finding the Third Proportional to 38,775 and 58,486

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Solution

The third proportional to 38,775 and 58,486 is: 88,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,775 : 58,486 = 58,486 : x
  2. Step 2: Convert to fraction form
    38,775/58,486 = 58,486/x
  3. Step 3: Cross multiply
    38,775x = 58,486 × 58,486
  4. Step 4: Simplify right side
    38,775x = 3,420,612,196
  5. Step 5: Solve for x
    x = 3,420,612,196/38,775
  6. Step 6: Final answer
    x = 88,216.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.