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Finding the Third Proportional to 6,582.38 and 8,867.25

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Solution

The third proportional to 6,582.38 and 8,867.25 is: 11,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.38 : 8,867.25 = 8,867.25 : x
  2. Step 2: Convert to fraction form
    6,582.38/8,867.25 = 8,867.25/x
  3. Step 3: Cross multiply
    6,582.38x = 8,867.25 × 8,867.25
  4. Step 4: Simplify right side
    6,582.38x = 78,628,122.56
  5. Step 5: Solve for x
    x = 78,628,122.56/6,582.38
  6. Step 6: Final answer
    x = 11,945.25

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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.