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Finding the Third Proportional to 26,688 and 57,759

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Solution

The third proportional to 26,688 and 57,759 is: 125,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,688 : 57,759 = 57,759 : x
  2. Step 2: Convert to fraction form
    26,688/57,759 = 57,759/x
  3. Step 3: Cross multiply
    26,688x = 57,759 × 57,759
  4. Step 4: Simplify right side
    26,688x = 3,336,102,081
  5. Step 5: Solve for x
    x = 3,336,102,081/26,688
  6. Step 6: Final answer
    x = 125,003.82

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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.