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Finding the Third Proportional to 5,167.55 and 9,256.78

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Solution

The third proportional to 5,167.55 and 9,256.78 is: 16,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.55 : 9,256.78 = 9,256.78 : x
  2. Step 2: Convert to fraction form
    5,167.55/9,256.78 = 9,256.78/x
  3. Step 3: Cross multiply
    5,167.55x = 9,256.78 × 9,256.78
  4. Step 4: Simplify right side
    5,167.55x = 85,687,999.11
  5. Step 5: Solve for x
    x = 85,687,999.11/5,167.55
  6. Step 6: Final answer
    x = 16,581.95

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.