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Finding the Third Proportional to 16,642.13 and 25,840.69

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Solution

The third proportional to 16,642.13 and 25,840.69 is: 40,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.13 : 25,840.69 = 25,840.69 : x
  2. Step 2: Convert to fraction form
    16,642.13/25,840.69 = 25,840.69/x
  3. Step 3: Cross multiply
    16,642.13x = 25,840.69 × 25,840.69
  4. Step 4: Simplify right side
    16,642.13x = 667,741,130.47
  5. Step 5: Solve for x
    x = 667,741,130.47/16,642.13
  6. Step 6: Final answer
    x = 40,123.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.