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Finding the Third Proportional to 31,134.38 and 48,645.56

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Solution

The third proportional to 31,134.38 and 48,645.56 is: 76,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.38 : 48,645.56 = 48,645.56 : x
  2. Step 2: Convert to fraction form
    31,134.38/48,645.56 = 48,645.56/x
  3. Step 3: Cross multiply
    31,134.38x = 48,645.56 × 48,645.56
  4. Step 4: Simplify right side
    31,134.38x = 2,366,390,750.94
  5. Step 5: Solve for x
    x = 2,366,390,750.94/31,134.38
  6. Step 6: Final answer
    x = 76,005.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.