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Finding the Third Proportional to 27,816 and 57,942

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Solution

The third proportional to 27,816 and 57,942 is: 120,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816 : 57,942 = 57,942 : x
  2. Step 2: Convert to fraction form
    27,816/57,942 = 57,942/x
  3. Step 3: Cross multiply
    27,816x = 57,942 × 57,942
  4. Step 4: Simplify right side
    27,816x = 3,357,275,364
  5. Step 5: Solve for x
    x = 3,357,275,364/27,816
  6. Step 6: Final answer
    x = 120,695.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.