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Finding the Third Proportional to 20,017.13 and 25,408.69

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Solution

The third proportional to 20,017.13 and 25,408.69 is: 32,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.13 : 25,408.69 = 25,408.69 : x
  2. Step 2: Convert to fraction form
    20,017.13/25,408.69 = 25,408.69/x
  3. Step 3: Cross multiply
    20,017.13x = 25,408.69 × 25,408.69
  4. Step 4: Simplify right side
    20,017.13x = 645,601,400.47
  5. Step 5: Solve for x
    x = 645,601,400.47/20,017.13
  6. Step 6: Final answer
    x = 32,252.45

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.