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Finding the Third Proportional to 8,360.72 and 11,151.42

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Solution

The third proportional to 8,360.72 and 11,151.42 is: 14,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.72 : 11,151.42 = 11,151.42 : x
  2. Step 2: Convert to fraction form
    8,360.72/11,151.42 = 11,151.42/x
  3. Step 3: Cross multiply
    8,360.72x = 11,151.42 × 11,151.42
  4. Step 4: Simplify right side
    8,360.72x = 124,354,209.83
  5. Step 5: Solve for x
    x = 124,354,209.83/8,360.72
  6. Step 6: Final answer
    x = 14,873.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.