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Finding the Third Proportional to 26,908 and 57,319

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Solution

The third proportional to 26,908 and 57,319 is: 122,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,908 : 57,319 = 57,319 : x
  2. Step 2: Convert to fraction form
    26,908/57,319 = 57,319/x
  3. Step 3: Cross multiply
    26,908x = 57,319 × 57,319
  4. Step 4: Simplify right side
    26,908x = 3,285,467,761
  5. Step 5: Solve for x
    x = 3,285,467,761/26,908
  6. Step 6: Final answer
    x = 122,100.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.