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Finding the Third Proportional to 39,451 and 81,814

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Solution

The third proportional to 39,451 and 81,814 is: 169,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,451 : 81,814 = 81,814 : x
  2. Step 2: Convert to fraction form
    39,451/81,814 = 81,814/x
  3. Step 3: Cross multiply
    39,451x = 81,814 × 81,814
  4. Step 4: Simplify right side
    39,451x = 6,693,530,596
  5. Step 5: Solve for x
    x = 6,693,530,596/39,451
  6. Step 6: Final answer
    x = 169,666.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.