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Finding the Third Proportional to 3,548.25 and 7,387.88

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Solution

The third proportional to 3,548.25 and 7,387.88 is: 15,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.25 : 7,387.88 = 7,387.88 : x
  2. Step 2: Convert to fraction form
    3,548.25/7,387.88 = 7,387.88/x
  3. Step 3: Cross multiply
    3,548.25x = 7,387.88 × 7,387.88
  4. Step 4: Simplify right side
    3,548.25x = 54,580,697.02
  5. Step 5: Solve for x
    x = 54,580,697.02/3,548.25
  6. Step 6: Final answer
    x = 15,382.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.