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Finding the Third Proportional to 8,559.75 and 11,552.25

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Solution

The third proportional to 8,559.75 and 11,552.25 is: 15,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.75 : 11,552.25 = 11,552.25 : x
  2. Step 2: Convert to fraction form
    8,559.75/11,552.25 = 11,552.25/x
  3. Step 3: Cross multiply
    8,559.75x = 11,552.25 × 11,552.25
  4. Step 4: Simplify right side
    8,559.75x = 133,454,480.06
  5. Step 5: Solve for x
    x = 133,454,480.06/8,559.75
  6. Step 6: Final answer
    x = 15,590.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.