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Finding the Third Proportional to 4,024.69 and 4,375.69

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Solution

The third proportional to 4,024.69 and 4,375.69 is: 4,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.69 : 4,375.69 = 4,375.69 : x
  2. Step 2: Convert to fraction form
    4,024.69/4,375.69 = 4,375.69/x
  3. Step 3: Cross multiply
    4,024.69x = 4,375.69 × 4,375.69
  4. Step 4: Simplify right side
    4,024.69x = 19,146,641.10
  5. Step 5: Solve for x
    x = 19,146,641.10/4,024.69
  6. Step 6: Final answer
    x = 4,757.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.