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Finding the Third Proportional to 43,233 and 64,849

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Solution

The third proportional to 43,233 and 64,849 is: 97,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,233 : 64,849 = 64,849 : x
  2. Step 2: Convert to fraction form
    43,233/64,849 = 64,849/x
  3. Step 3: Cross multiply
    43,233x = 64,849 × 64,849
  4. Step 4: Simplify right side
    43,233x = 4,205,392,801
  5. Step 5: Solve for x
    x = 4,205,392,801/43,233
  6. Step 6: Final answer
    x = 97,272.75

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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.