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Finding the Third Proportional to 38,360 and 57,372

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Solution

The third proportional to 38,360 and 57,372 is: 85,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360 : 57,372 = 57,372 : x
  2. Step 2: Convert to fraction form
    38,360/57,372 = 57,372/x
  3. Step 3: Cross multiply
    38,360x = 57,372 × 57,372
  4. Step 4: Simplify right side
    38,360x = 3,291,546,384
  5. Step 5: Solve for x
    x = 3,291,546,384/38,360
  6. Step 6: Final answer
    x = 85,806.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.