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Finding the Third Proportional to 20,152.13 and 30,542.91

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Solution

The third proportional to 20,152.13 and 30,542.91 is: 46,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.13 : 30,542.91 = 30,542.91 : x
  2. Step 2: Convert to fraction form
    20,152.13/30,542.91 = 30,542.91/x
  3. Step 3: Cross multiply
    20,152.13x = 30,542.91 × 30,542.91
  4. Step 4: Simplify right side
    20,152.13x = 932,869,122.20
  5. Step 5: Solve for x
    x = 932,869,122.20/20,152.13
  6. Step 6: Final answer
    x = 46,291.35

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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.