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Finding the Third Proportional to 26.72 and 42.53

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Solution

The third proportional to 26.72 and 42.53 is: 67.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.72 : 42.53 = 42.53 : x
  2. Step 2: Convert to fraction form
    26.72/42.53 = 42.53/x
  3. Step 3: Cross multiply
    26.72x = 42.53 × 42.53
  4. Step 4: Simplify right side
    26.72x = 1,808.91
  5. Step 5: Solve for x
    x = 1,808.91/26.72
  6. Step 6: Final answer
    x = 67.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.