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Finding the Third Proportional to 38,260 and 82,082

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Solution

The third proportional to 38,260 and 82,082 is: 176,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,260 : 82,082 = 82,082 : x
  2. Step 2: Convert to fraction form
    38,260/82,082 = 82,082/x
  3. Step 3: Cross multiply
    38,260x = 82,082 × 82,082
  4. Step 4: Simplify right side
    38,260x = 6,737,454,724
  5. Step 5: Solve for x
    x = 6,737,454,724/38,260
  6. Step 6: Final answer
    x = 176,096.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.