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Finding the Third Proportional to 38,596 and 57,750

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Solution

The third proportional to 38,596 and 57,750 is: 86,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596 : 57,750 = 57,750 : x
  2. Step 2: Convert to fraction form
    38,596/57,750 = 57,750/x
  3. Step 3: Cross multiply
    38,596x = 57,750 × 57,750
  4. Step 4: Simplify right side
    38,596x = 3,335,062,500
  5. Step 5: Solve for x
    x = 3,335,062,500/38,596
  6. Step 6: Final answer
    x = 86,409.54

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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.