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Finding the Third Proportional to 27,234 and 36,960

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Solution

The third proportional to 27,234 and 36,960 is: 50,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 36,960 = 36,960 : x
  2. Step 2: Convert to fraction form
    27,234/36,960 = 36,960/x
  3. Step 3: Cross multiply
    27,234x = 36,960 × 36,960
  4. Step 4: Simplify right side
    27,234x = 1,366,041,600
  5. Step 5: Solve for x
    x = 1,366,041,600/27,234
  6. Step 6: Final answer
    x = 50,159.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.