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Finding the Third Proportional to 38,382 and 83,154

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Solution

The third proportional to 38,382 and 83,154 is: 180,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382 : 83,154 = 83,154 : x
  2. Step 2: Convert to fraction form
    38,382/83,154 = 83,154/x
  3. Step 3: Cross multiply
    38,382x = 83,154 × 83,154
  4. Step 4: Simplify right side
    38,382x = 6,914,587,716
  5. Step 5: Solve for x
    x = 6,914,587,716/38,382
  6. Step 6: Final answer
    x = 180,151.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.