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Finding the Third Proportional to 7,921.13 and 10,565.44

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Solution

The third proportional to 7,921.13 and 10,565.44 is: 14,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.13 : 10,565.44 = 10,565.44 : x
  2. Step 2: Convert to fraction form
    7,921.13/10,565.44 = 10,565.44/x
  3. Step 3: Cross multiply
    7,921.13x = 10,565.44 × 10,565.44
  4. Step 4: Simplify right side
    7,921.13x = 111,628,469.57
  5. Step 5: Solve for x
    x = 111,628,469.57/7,921.13
  6. Step 6: Final answer
    x = 14,092.50

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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.