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Finding the Third Proportional to 39,492 and 84,836

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Solution

The third proportional to 39,492 and 84,836 is: 182,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,492 : 84,836 = 84,836 : x
  2. Step 2: Convert to fraction form
    39,492/84,836 = 84,836/x
  3. Step 3: Cross multiply
    39,492x = 84,836 × 84,836
  4. Step 4: Simplify right side
    39,492x = 7,197,146,896
  5. Step 5: Solve for x
    x = 7,197,146,896/39,492
  6. Step 6: Final answer
    x = 182,243.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.