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Finding the Third Proportional to 4,742.30 and 7,375.43

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Solution

The third proportional to 4,742.30 and 7,375.43 is: 11,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.30 : 7,375.43 = 7,375.43 : x
  2. Step 2: Convert to fraction form
    4,742.30/7,375.43 = 7,375.43/x
  3. Step 3: Cross multiply
    4,742.30x = 7,375.43 × 7,375.43
  4. Step 4: Simplify right side
    4,742.30x = 54,396,963.08
  5. Step 5: Solve for x
    x = 54,396,963.08/4,742.30
  6. Step 6: Final answer
    x = 11,470.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.