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Finding the Third Proportional to 12,909.38 and 28,294.31

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Solution

The third proportional to 12,909.38 and 28,294.31 is: 62,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.38 : 28,294.31 = 28,294.31 : x
  2. Step 2: Convert to fraction form
    12,909.38/28,294.31 = 28,294.31/x
  3. Step 3: Cross multiply
    12,909.38x = 28,294.31 × 28,294.31
  4. Step 4: Simplify right side
    12,909.38x = 800,568,119.85
  5. Step 5: Solve for x
    x = 800,568,119.85/12,909.38
  6. Step 6: Final answer
    x = 62,014.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.