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Finding the Third Proportional to 39,750 and 59,625

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Solution

The third proportional to 39,750 and 59,625 is: 89,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750 : 59,625 = 59,625 : x
  2. Step 2: Convert to fraction form
    39,750/59,625 = 59,625/x
  3. Step 3: Cross multiply
    39,750x = 59,625 × 59,625
  4. Step 4: Simplify right side
    39,750x = 3,555,140,625
  5. Step 5: Solve for x
    x = 3,555,140,625/39,750
  6. Step 6: Final answer
    x = 89,437.50

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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.