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Finding the Third Proportional to 39,282 and 84,839.25

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Solution

The third proportional to 39,282 and 84,839.25 is: 183,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,282 : 84,839.25 = 84,839.25 : x
  2. Step 2: Convert to fraction form
    39,282/84,839.25 = 84,839.25/x
  3. Step 3: Cross multiply
    39,282x = 84,839.25 × 84,839.25
  4. Step 4: Simplify right side
    39,282x = 7,197,698,340.56
  5. Step 5: Solve for x
    x = 7,197,698,340.56/39,282
  6. Step 6: Final answer
    x = 183,231.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.