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Finding the Third Proportional to 27,008 and 36,336

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Solution

The third proportional to 27,008 and 36,336 is: 48,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008 : 36,336 = 36,336 : x
  2. Step 2: Convert to fraction form
    27,008/36,336 = 36,336/x
  3. Step 3: Cross multiply
    27,008x = 36,336 × 36,336
  4. Step 4: Simplify right side
    27,008x = 1,320,304,896
  5. Step 5: Solve for x
    x = 1,320,304,896/27,008
  6. Step 6: Final answer
    x = 48,885.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.