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Finding the Third Proportional to 26,847 and 60,654

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Solution

The third proportional to 26,847 and 60,654 is: 137,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847 : 60,654 = 60,654 : x
  2. Step 2: Convert to fraction form
    26,847/60,654 = 60,654/x
  3. Step 3: Cross multiply
    26,847x = 60,654 × 60,654
  4. Step 4: Simplify right side
    26,847x = 3,678,907,716
  5. Step 5: Solve for x
    x = 3,678,907,716/26,847
  6. Step 6: Final answer
    x = 137,032.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.