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Finding the Third Proportional to 39,366 and 84,954

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Solution

The third proportional to 39,366 and 84,954 is: 183,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,366 : 84,954 = 84,954 : x
  2. Step 2: Convert to fraction form
    39,366/84,954 = 84,954/x
  3. Step 3: Cross multiply
    39,366x = 84,954 × 84,954
  4. Step 4: Simplify right side
    39,366x = 7,217,182,116
  5. Step 5: Solve for x
    x = 7,217,182,116/39,366
  6. Step 6: Final answer
    x = 183,335.42

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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.