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Finding the Third Proportional to 16,944 and 36,336

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Solution

The third proportional to 16,944 and 36,336 is: 77,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944 : 36,336 = 36,336 : x
  2. Step 2: Convert to fraction form
    16,944/36,336 = 36,336/x
  3. Step 3: Cross multiply
    16,944x = 36,336 × 36,336
  4. Step 4: Simplify right side
    16,944x = 1,320,304,896
  5. Step 5: Solve for x
    x = 1,320,304,896/16,944
  6. Step 6: Final answer
    x = 77,921.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.