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Finding the Third Proportional to 23.56 and 35.19

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Solution

The third proportional to 23.56 and 35.19 is: 52.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.56 : 35.19 = 35.19 : x
  2. Step 2: Convert to fraction form
    23.56/35.19 = 35.19/x
  3. Step 3: Cross multiply
    23.56x = 35.19 × 35.19
  4. Step 4: Simplify right side
    23.56x = 1,238.16
  5. Step 5: Solve for x
    x = 1,238.16/23.56
  6. Step 6: Final answer
    x = 52.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.