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Finding the Third Proportional to 38,898 and 85,360

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Solution

The third proportional to 38,898 and 85,360 is: 187,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,898 : 85,360 = 85,360 : x
  2. Step 2: Convert to fraction form
    38,898/85,360 = 85,360/x
  3. Step 3: Cross multiply
    38,898x = 85,360 × 85,360
  4. Step 4: Simplify right side
    38,898x = 7,286,329,600
  5. Step 5: Solve for x
    x = 7,286,329,600/38,898
  6. Step 6: Final answer
    x = 187,318.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.