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Finding the Third Proportional to 42,919.88 and 49,177.13

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Solution

The third proportional to 42,919.88 and 49,177.13 is: 56,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,919.88 : 49,177.13 = 49,177.13 : x
  2. Step 2: Convert to fraction form
    42,919.88/49,177.13 = 49,177.13/x
  3. Step 3: Cross multiply
    42,919.88x = 49,177.13 × 49,177.13
  4. Step 4: Simplify right side
    42,919.88x = 2,418,389,623.27
  5. Step 5: Solve for x
    x = 2,418,389,623.27/42,919.88
  6. Step 6: Final answer
    x = 56,346.61

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.