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Finding the Third Proportional to 26,566 and 57,788

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Solution

The third proportional to 26,566 and 57,788 is: 125,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,566 : 57,788 = 57,788 : x
  2. Step 2: Convert to fraction form
    26,566/57,788 = 57,788/x
  3. Step 3: Cross multiply
    26,566x = 57,788 × 57,788
  4. Step 4: Simplify right side
    26,566x = 3,339,452,944
  5. Step 5: Solve for x
    x = 3,339,452,944/26,566
  6. Step 6: Final answer
    x = 125,704.02

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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.