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Finding the Third Proportional to 38,750 and 54,846.50

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Solution

The third proportional to 38,750 and 54,846.50 is: 77,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,750 : 54,846.50 = 54,846.50 : x
  2. Step 2: Convert to fraction form
    38,750/54,846.50 = 54,846.50/x
  3. Step 3: Cross multiply
    38,750x = 54,846.50 × 54,846.50
  4. Step 4: Simplify right side
    38,750x = 3,008,138,562.25
  5. Step 5: Solve for x
    x = 3,008,138,562.25/38,750
  6. Step 6: Final answer
    x = 77,629.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.