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Finding the Third Proportional to 38,780 and 58,156

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Solution

The third proportional to 38,780 and 58,156 is: 87,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,780 : 58,156 = 58,156 : x
  2. Step 2: Convert to fraction form
    38,780/58,156 = 58,156/x
  3. Step 3: Cross multiply
    38,780x = 58,156 × 58,156
  4. Step 4: Simplify right side
    38,780x = 3,382,120,336
  5. Step 5: Solve for x
    x = 3,382,120,336/38,780
  6. Step 6: Final answer
    x = 87,213.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.