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Finding the Third Proportional to 26.02 and 57.02

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Solution

The third proportional to 26.02 and 57.02 is: 124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.02 : 57.02 = 57.02 : x
  2. Step 2: Convert to fraction form
    26.02/57.02 = 57.02/x
  3. Step 3: Cross multiply
    26.02x = 57.02 × 57.02
  4. Step 4: Simplify right side
    26.02x = 3,251.67
  5. Step 5: Solve for x
    x = 3,251.67/26.02
  6. Step 6: Final answer
    x = 124.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.