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Finding the Third Proportional to 38,340 and 60,156

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Solution

The third proportional to 38,340 and 60,156 is: 94,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,340 : 60,156 = 60,156 : x
  2. Step 2: Convert to fraction form
    38,340/60,156 = 60,156/x
  3. Step 3: Cross multiply
    38,340x = 60,156 × 60,156
  4. Step 4: Simplify right side
    38,340x = 3,618,744,336
  5. Step 5: Solve for x
    x = 3,618,744,336/38,340
  6. Step 6: Final answer
    x = 94,385.61

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