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Finding the Third Proportional to 27,713.39 and 40,584.80

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Solution

The third proportional to 27,713.39 and 40,584.80 is: 59,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.39 : 40,584.80 = 40,584.80 : x
  2. Step 2: Convert to fraction form
    27,713.39/40,584.80 = 40,584.80/x
  3. Step 3: Cross multiply
    27,713.39x = 40,584.80 × 40,584.80
  4. Step 4: Simplify right side
    27,713.39x = 1,647,125,737.39
  5. Step 5: Solve for x
    x = 1,647,125,737.39/27,713.39
  6. Step 6: Final answer
    x = 59,434.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.