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Finding the Third Proportional to 39,675 and 84,438

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Solution

The third proportional to 39,675 and 84,438 is: 179,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675 : 84,438 = 84,438 : x
  2. Step 2: Convert to fraction form
    39,675/84,438 = 84,438/x
  3. Step 3: Cross multiply
    39,675x = 84,438 × 84,438
  4. Step 4: Simplify right side
    39,675x = 7,129,775,844
  5. Step 5: Solve for x
    x = 7,129,775,844/39,675
  6. Step 6: Final answer
    x = 179,704.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.