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Finding the Third Proportional to 38,156 and 58,372

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Solution

The third proportional to 38,156 and 58,372 is: 89,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,156 : 58,372 = 58,372 : x
  2. Step 2: Convert to fraction form
    38,156/58,372 = 58,372/x
  3. Step 3: Cross multiply
    38,156x = 58,372 × 58,372
  4. Step 4: Simplify right side
    38,156x = 3,407,290,384
  5. Step 5: Solve for x
    x = 3,407,290,384/38,156
  6. Step 6: Final answer
    x = 89,298.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.