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Finding the Third Proportional to 39,282 and 84,867

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Solution

The third proportional to 39,282 and 84,867 is: 183,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,282 : 84,867 = 84,867 : x
  2. Step 2: Convert to fraction form
    39,282/84,867 = 84,867/x
  3. Step 3: Cross multiply
    39,282x = 84,867 × 84,867
  4. Step 4: Simplify right side
    39,282x = 7,202,407,689
  5. Step 5: Solve for x
    x = 7,202,407,689/39,282
  6. Step 6: Final answer
    x = 183,351.35

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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.