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Finding the Third Proportional to 27,836 and 49,059

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Solution

The third proportional to 27,836 and 49,059 is: 86,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836 : 49,059 = 49,059 : x
  2. Step 2: Convert to fraction form
    27,836/49,059 = 49,059/x
  3. Step 3: Cross multiply
    27,836x = 49,059 × 49,059
  4. Step 4: Simplify right side
    27,836x = 2,406,785,481
  5. Step 5: Solve for x
    x = 2,406,785,481/27,836
  6. Step 6: Final answer
    x = 86,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.