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Finding the Third Proportional to 24,067.13 and 37,806.75

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Solution

The third proportional to 24,067.13 and 37,806.75 is: 59,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.13 : 37,806.75 = 37,806.75 : x
  2. Step 2: Convert to fraction form
    24,067.13/37,806.75 = 37,806.75/x
  3. Step 3: Cross multiply
    24,067.13x = 37,806.75 × 37,806.75
  4. Step 4: Simplify right side
    24,067.13x = 1,429,350,345.56
  5. Step 5: Solve for x
    x = 1,429,350,345.56/24,067.13
  6. Step 6: Final answer
    x = 59,390.16

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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.