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Finding the Third Proportional to 27,891 and 61,342

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Solution

The third proportional to 27,891 and 61,342 is: 134,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891 : 61,342 = 61,342 : x
  2. Step 2: Convert to fraction form
    27,891/61,342 = 61,342/x
  3. Step 3: Cross multiply
    27,891x = 61,342 × 61,342
  4. Step 4: Simplify right side
    27,891x = 3,762,840,964
  5. Step 5: Solve for x
    x = 3,762,840,964/27,891
  6. Step 6: Final answer
    x = 134,912.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.