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Finding the Third Proportional to 20,311.88 and 45,291.52

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Solution

The third proportional to 20,311.88 and 45,291.52 is: 100,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.88 : 45,291.52 = 45,291.52 : x
  2. Step 2: Convert to fraction form
    20,311.88/45,291.52 = 45,291.52/x
  3. Step 3: Cross multiply
    20,311.88x = 45,291.52 × 45,291.52
  4. Step 4: Simplify right side
    20,311.88x = 2,051,321,387.61
  5. Step 5: Solve for x
    x = 2,051,321,387.61/20,311.88
  6. Step 6: Final answer
    x = 100,991.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.