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Finding the Third Proportional to 8,322.75 and 11,079.28

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Solution

The third proportional to 8,322.75 and 11,079.28 is: 14,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.75 : 11,079.28 = 11,079.28 : x
  2. Step 2: Convert to fraction form
    8,322.75/11,079.28 = 11,079.28/x
  3. Step 3: Cross multiply
    8,322.75x = 11,079.28 × 11,079.28
  4. Step 4: Simplify right side
    8,322.75x = 122,750,473.02
  5. Step 5: Solve for x
    x = 122,750,473.02/8,322.75
  6. Step 6: Final answer
    x = 14,748.79

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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.