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Finding the Third Proportional to 26,816 and 57,320

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Solution

The third proportional to 26,816 and 57,320 is: 122,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816 : 57,320 = 57,320 : x
  2. Step 2: Convert to fraction form
    26,816/57,320 = 57,320/x
  3. Step 3: Cross multiply
    26,816x = 57,320 × 57,320
  4. Step 4: Simplify right side
    26,816x = 3,285,582,400
  5. Step 5: Solve for x
    x = 3,285,582,400/26,816
  6. Step 6: Final answer
    x = 122,523.21

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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.