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Finding the Third Proportional to 26,608 and 57,584

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Solution

The third proportional to 26,608 and 57,584 is: 124,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,608 : 57,584 = 57,584 : x
  2. Step 2: Convert to fraction form
    26,608/57,584 = 57,584/x
  3. Step 3: Cross multiply
    26,608x = 57,584 × 57,584
  4. Step 4: Simplify right side
    26,608x = 3,315,917,056
  5. Step 5: Solve for x
    x = 3,315,917,056/26,608
  6. Step 6: Final answer
    x = 124,621.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.