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Finding the Third Proportional to 26,970 and 57,288

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Solution

The third proportional to 26,970 and 57,288 is: 121,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970 : 57,288 = 57,288 : x
  2. Step 2: Convert to fraction form
    26,970/57,288 = 57,288/x
  3. Step 3: Cross multiply
    26,970x = 57,288 × 57,288
  4. Step 4: Simplify right side
    26,970x = 3,281,914,944
  5. Step 5: Solve for x
    x = 3,281,914,944/26,970
  6. Step 6: Final answer
    x = 121,687.61

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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.