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Finding the Third Proportional to 27,186 and 36,589.50

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Solution

The third proportional to 27,186 and 36,589.50 is: 49,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186 : 36,589.50 = 36,589.50 : x
  2. Step 2: Convert to fraction form
    27,186/36,589.50 = 36,589.50/x
  3. Step 3: Cross multiply
    27,186x = 36,589.50 × 36,589.50
  4. Step 4: Simplify right side
    27,186x = 1,338,791,510.25
  5. Step 5: Solve for x
    x = 1,338,791,510.25/27,186
  6. Step 6: Final answer
    x = 49,245.62

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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.