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Finding the Third Proportional to 8,441 and 9,719

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Solution

The third proportional to 8,441 and 9,719 is: 11,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441 : 9,719 = 9,719 : x
  2. Step 2: Convert to fraction form
    8,441/9,719 = 9,719/x
  3. Step 3: Cross multiply
    8,441x = 9,719 × 9,719
  4. Step 4: Simplify right side
    8,441x = 94,458,961
  5. Step 5: Solve for x
    x = 94,458,961/8,441
  6. Step 6: Final answer
    x = 11,190.49

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.