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Finding the Third Proportional to 26,966 and 57,280

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Solution

The third proportional to 26,966 and 57,280 is: 121,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,966 : 57,280 = 57,280 : x
  2. Step 2: Convert to fraction form
    26,966/57,280 = 57,280/x
  3. Step 3: Cross multiply
    26,966x = 57,280 × 57,280
  4. Step 4: Simplify right side
    26,966x = 3,280,998,400
  5. Step 5: Solve for x
    x = 3,280,998,400/26,966
  6. Step 6: Final answer
    x = 121,671.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.