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Finding the Third Proportional to 38,376 and 85,674

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Solution

The third proportional to 38,376 and 85,674 is: 191,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376 : 85,674 = 85,674 : x
  2. Step 2: Convert to fraction form
    38,376/85,674 = 85,674/x
  3. Step 3: Cross multiply
    38,376x = 85,674 × 85,674
  4. Step 4: Simplify right side
    38,376x = 7,340,034,276
  5. Step 5: Solve for x
    x = 7,340,034,276/38,376
  6. Step 6: Final answer
    x = 191,266.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.