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Finding the Third Proportional to 43,422 and 65,241

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Solution

The third proportional to 43,422 and 65,241 is: 98,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,422 : 65,241 = 65,241 : x
  2. Step 2: Convert to fraction form
    43,422/65,241 = 65,241/x
  3. Step 3: Cross multiply
    43,422x = 65,241 × 65,241
  4. Step 4: Simplify right side
    43,422x = 4,256,388,081
  5. Step 5: Solve for x
    x = 4,256,388,081/43,422
  6. Step 6: Final answer
    x = 98,023.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.