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Finding the Third Proportional to 7,245.38 and 15,439.88

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Solution

The third proportional to 7,245.38 and 15,439.88 is: 32,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.38 : 15,439.88 = 15,439.88 : x
  2. Step 2: Convert to fraction form
    7,245.38/15,439.88 = 15,439.88/x
  3. Step 3: Cross multiply
    7,245.38x = 15,439.88 × 15,439.88
  4. Step 4: Simplify right side
    7,245.38x = 238,389,740.02
  5. Step 5: Solve for x
    x = 238,389,740.02/7,245.38
  6. Step 6: Final answer
    x = 32,902.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.