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Finding the Third Proportional to 3,752.44 and 5,034.38

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Solution

The third proportional to 3,752.44 and 5,034.38 is: 6,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.44 : 5,034.38 = 5,034.38 : x
  2. Step 2: Convert to fraction form
    3,752.44/5,034.38 = 5,034.38/x
  3. Step 3: Cross multiply
    3,752.44x = 5,034.38 × 5,034.38
  4. Step 4: Simplify right side
    3,752.44x = 25,344,931.64
  5. Step 5: Solve for x
    x = 25,344,931.64/3,752.44
  6. Step 6: Final answer
    x = 6,754.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.