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Finding the Third Proportional to 38,180 and 59,374

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Solution

The third proportional to 38,180 and 59,374 is: 92,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180 : 59,374 = 59,374 : x
  2. Step 2: Convert to fraction form
    38,180/59,374 = 59,374/x
  3. Step 3: Cross multiply
    38,180x = 59,374 × 59,374
  4. Step 4: Simplify right side
    38,180x = 3,525,271,876
  5. Step 5: Solve for x
    x = 3,525,271,876/38,180
  6. Step 6: Final answer
    x = 92,332.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.