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Finding the Third Proportional to 44,367.75 and 49,182.19

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Solution

The third proportional to 44,367.75 and 49,182.19 is: 54,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,367.75 : 49,182.19 = 49,182.19 : x
  2. Step 2: Convert to fraction form
    44,367.75/49,182.19 = 49,182.19/x
  3. Step 3: Cross multiply
    44,367.75x = 49,182.19 × 49,182.19
  4. Step 4: Simplify right side
    44,367.75x = 2,418,887,567.29
  5. Step 5: Solve for x
    x = 2,418,887,567.29/44,367.75
  6. Step 6: Final answer
    x = 54,519.05

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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.