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Finding the Third Proportional to 26,345 and 57,766

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Solution

The third proportional to 26,345 and 57,766 is: 126,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,345 : 57,766 = 57,766 : x
  2. Step 2: Convert to fraction form
    26,345/57,766 = 57,766/x
  3. Step 3: Cross multiply
    26,345x = 57,766 × 57,766
  4. Step 4: Simplify right side
    26,345x = 3,336,910,756
  5. Step 5: Solve for x
    x = 3,336,910,756/26,345
  6. Step 6: Final answer
    x = 126,662.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.