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Finding the Third Proportional to 23,986.13 and 36,424.69

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Solution

The third proportional to 23,986.13 and 36,424.69 is: 55,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986.13 : 36,424.69 = 36,424.69 : x
  2. Step 2: Convert to fraction form
    23,986.13/36,424.69 = 36,424.69/x
  3. Step 3: Cross multiply
    23,986.13x = 36,424.69 × 36,424.69
  4. Step 4: Simplify right side
    23,986.13x = 1,326,757,859.47
  5. Step 5: Solve for x
    x = 1,326,757,859.47/23,986.13
  6. Step 6: Final answer
    x = 55,313.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.