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Finding the Third Proportional to 26,741 and 58,666

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Solution

The third proportional to 26,741 and 58,666 is: 128,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,741 : 58,666 = 58,666 : x
  2. Step 2: Convert to fraction form
    26,741/58,666 = 58,666/x
  3. Step 3: Cross multiply
    26,741x = 58,666 × 58,666
  4. Step 4: Simplify right side
    26,741x = 3,441,699,556
  5. Step 5: Solve for x
    x = 3,441,699,556/26,741
  6. Step 6: Final answer
    x = 128,704.97

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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.