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Finding the Third Proportional to 27,942 and 59,883

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Solution

The third proportional to 27,942 and 59,883 is: 128,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942 : 59,883 = 59,883 : x
  2. Step 2: Convert to fraction form
    27,942/59,883 = 59,883/x
  3. Step 3: Cross multiply
    27,942x = 59,883 × 59,883
  4. Step 4: Simplify right side
    27,942x = 3,585,973,689
  5. Step 5: Solve for x
    x = 3,585,973,689/27,942
  6. Step 6: Final answer
    x = 128,336.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.