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Finding the Third Proportional to 39,471 and 84,540

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Solution

The third proportional to 39,471 and 84,540 is: 181,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,471 : 84,540 = 84,540 : x
  2. Step 2: Convert to fraction form
    39,471/84,540 = 84,540/x
  3. Step 3: Cross multiply
    39,471x = 84,540 × 84,540
  4. Step 4: Simplify right side
    39,471x = 7,147,011,600
  5. Step 5: Solve for x
    x = 7,147,011,600/39,471
  6. Step 6: Final answer
    x = 181,069.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.