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Finding the Third Proportional to 38,163.75 and 56,101.88

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Solution

The third proportional to 38,163.75 and 56,101.88 is: 82,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,163.75 : 56,101.88 = 56,101.88 : x
  2. Step 2: Convert to fraction form
    38,163.75/56,101.88 = 56,101.88/x
  3. Step 3: Cross multiply
    38,163.75x = 56,101.88 × 56,101.88
  4. Step 4: Simplify right side
    38,163.75x = 3,147,420,378.52
  5. Step 5: Solve for x
    x = 3,147,420,378.52/38,163.75
  6. Step 6: Final answer
    x = 82,471.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.