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Finding the Third Proportional to 38,376 and 82,080

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Solution

The third proportional to 38,376 and 82,080 is: 175,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376 : 82,080 = 82,080 : x
  2. Step 2: Convert to fraction form
    38,376/82,080 = 82,080/x
  3. Step 3: Cross multiply
    38,376x = 82,080 × 82,080
  4. Step 4: Simplify right side
    38,376x = 6,737,126,400
  5. Step 5: Solve for x
    x = 6,737,126,400/38,376
  6. Step 6: Final answer
    x = 175,555.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.