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Finding the Third Proportional to 8,117.25 and 11,868.75

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Solution

The third proportional to 8,117.25 and 11,868.75 is: 17,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.25 : 11,868.75 = 11,868.75 : x
  2. Step 2: Convert to fraction form
    8,117.25/11,868.75 = 11,868.75/x
  3. Step 3: Cross multiply
    8,117.25x = 11,868.75 × 11,868.75
  4. Step 4: Simplify right side
    8,117.25x = 140,867,226.56
  5. Step 5: Solve for x
    x = 140,867,226.56/8,117.25
  6. Step 6: Final answer
    x = 17,354.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.