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Finding the Third Proportional to 26,731.13 and 42,045.19

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Solution

The third proportional to 26,731.13 and 42,045.19 is: 66,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731.13 : 42,045.19 = 42,045.19 : x
  2. Step 2: Convert to fraction form
    26,731.13/42,045.19 = 42,045.19/x
  3. Step 3: Cross multiply
    26,731.13x = 42,045.19 × 42,045.19
  4. Step 4: Simplify right side
    26,731.13x = 1,767,797,791.91
  5. Step 5: Solve for x
    x = 1,767,797,791.91/26,731.13
  6. Step 6: Final answer
    x = 66,132.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.