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Finding the Third Proportional to 9,232.88 and 20,311.88

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Solution

The third proportional to 9,232.88 and 20,311.88 is: 44,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.88 : 20,311.88 = 20,311.88 : x
  2. Step 2: Convert to fraction form
    9,232.88/20,311.88 = 20,311.88/x
  3. Step 3: Cross multiply
    9,232.88x = 20,311.88 × 20,311.88
  4. Step 4: Simplify right side
    9,232.88x = 412,572,266.02
  5. Step 5: Solve for x
    x = 412,572,266.02/9,232.88
  6. Step 6: Final answer
    x = 44,685.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.