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Finding the Third Proportional to 27,286.24 and 40,761.04

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Solution

The third proportional to 27,286.24 and 40,761.04 is: 60,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.24 : 40,761.04 = 40,761.04 : x
  2. Step 2: Convert to fraction form
    27,286.24/40,761.04 = 40,761.04/x
  3. Step 3: Cross multiply
    27,286.24x = 40,761.04 × 40,761.04
  4. Step 4: Simplify right side
    27,286.24x = 1,661,461,987.01
  5. Step 5: Solve for x
    x = 1,661,461,987.01/27,286.24
  6. Step 6: Final answer
    x = 60,890.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.