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Finding the Third Proportional to 39,750 and 86,781

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Solution

The third proportional to 39,750 and 86,781 is: 189,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750 : 86,781 = 86,781 : x
  2. Step 2: Convert to fraction form
    39,750/86,781 = 86,781/x
  3. Step 3: Cross multiply
    39,750x = 86,781 × 86,781
  4. Step 4: Simplify right side
    39,750x = 7,530,941,961
  5. Step 5: Solve for x
    x = 7,530,941,961/39,750
  6. Step 6: Final answer
    x = 189,457.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.