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Finding the Third Proportional to 49,101.19 and 54,447.19

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Solution

The third proportional to 49,101.19 and 54,447.19 is: 60,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.19 : 54,447.19 = 54,447.19 : x
  2. Step 2: Convert to fraction form
    49,101.19/54,447.19 = 54,447.19/x
  3. Step 3: Cross multiply
    49,101.19x = 54,447.19 × 54,447.19
  4. Step 4: Simplify right side
    49,101.19x = 2,964,496,226.66
  5. Step 5: Solve for x
    x = 2,964,496,226.66/49,101.19
  6. Step 6: Final answer
    x = 60,375.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.