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Finding the Third Proportional to 1,375.10 and 2,427.47

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Solution

The third proportional to 1,375.10 and 2,427.47 is: 4,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.10 : 2,427.47 = 2,427.47 : x
  2. Step 2: Convert to fraction form
    1,375.10/2,427.47 = 2,427.47/x
  3. Step 3: Cross multiply
    1,375.10x = 2,427.47 × 2,427.47
  4. Step 4: Simplify right side
    1,375.10x = 5,892,604.53
  5. Step 5: Solve for x
    x = 5,892,604.53/1,375.10
  6. Step 6: Final answer
    x = 4,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.