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Finding the Third Proportional to 26,606 and 56,884

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Solution

The third proportional to 26,606 and 56,884 is: 121,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,606 : 56,884 = 56,884 : x
  2. Step 2: Convert to fraction form
    26,606/56,884 = 56,884/x
  3. Step 3: Cross multiply
    26,606x = 56,884 × 56,884
  4. Step 4: Simplify right side
    26,606x = 3,235,789,456
  5. Step 5: Solve for x
    x = 3,235,789,456/26,606
  6. Step 6: Final answer
    x = 121,618.79

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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.