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Finding the Third Proportional to 38,331 and 57,652.50

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Solution

The third proportional to 38,331 and 57,652.50 is: 86,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,331 : 57,652.50 = 57,652.50 : x
  2. Step 2: Convert to fraction form
    38,331/57,652.50 = 57,652.50/x
  3. Step 3: Cross multiply
    38,331x = 57,652.50 × 57,652.50
  4. Step 4: Simplify right side
    38,331x = 3,323,810,756.25
  5. Step 5: Solve for x
    x = 3,323,810,756.25/38,331
  6. Step 6: Final answer
    x = 86,713.38

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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.