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Finding the Third Proportional to 27,962 and 60,846

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Solution

The third proportional to 27,962 and 60,846 is: 132,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962 : 60,846 = 60,846 : x
  2. Step 2: Convert to fraction form
    27,962/60,846 = 60,846/x
  3. Step 3: Cross multiply
    27,962x = 60,846 × 60,846
  4. Step 4: Simplify right side
    27,962x = 3,702,235,716
  5. Step 5: Solve for x
    x = 3,702,235,716/27,962
  6. Step 6: Final answer
    x = 132,402.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.