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Finding the Third Proportional to 26,849 and 57,586

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Solution

The third proportional to 26,849 and 57,586 is: 123,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,849 : 57,586 = 57,586 : x
  2. Step 2: Convert to fraction form
    26,849/57,586 = 57,586/x
  3. Step 3: Cross multiply
    26,849x = 57,586 × 57,586
  4. Step 4: Simplify right side
    26,849x = 3,316,147,396
  5. Step 5: Solve for x
    x = 3,316,147,396/26,849
  6. Step 6: Final answer
    x = 123,511.02

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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.