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Finding the Third Proportional to 20,265.19 and 24,760.69

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Solution

The third proportional to 20,265.19 and 24,760.69 is: 30,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.19 : 24,760.69 = 24,760.69 : x
  2. Step 2: Convert to fraction form
    20,265.19/24,760.69 = 24,760.69/x
  3. Step 3: Cross multiply
    20,265.19x = 24,760.69 × 24,760.69
  4. Step 4: Simplify right side
    20,265.19x = 613,091,645.47
  5. Step 5: Solve for x
    x = 613,091,645.47/20,265.19
  6. Step 6: Final answer
    x = 30,253.44

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.