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Finding the Third Proportional to 2,614.78 and 4,175.30

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Solution

The third proportional to 2,614.78 and 4,175.30 is: 6,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.78 : 4,175.30 = 4,175.30 : x
  2. Step 2: Convert to fraction form
    2,614.78/4,175.30 = 4,175.30/x
  3. Step 3: Cross multiply
    2,614.78x = 4,175.30 × 4,175.30
  4. Step 4: Simplify right side
    2,614.78x = 17,433,103.99
  5. Step 5: Solve for x
    x = 17,433,103.99/2,614.78
  6. Step 6: Final answer
    x = 6,667.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.