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Finding the Third Proportional to 23.20 and 35.02

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Solution

The third proportional to 23.20 and 35.02 is: 52.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.20 : 35.02 = 35.02 : x
  2. Step 2: Convert to fraction form
    23.20/35.02 = 35.02/x
  3. Step 3: Cross multiply
    23.20x = 35.02 × 35.02
  4. Step 4: Simplify right side
    23.20x = 1,226.09
  5. Step 5: Solve for x
    x = 1,226.09/23.20
  6. Step 6: Final answer
    x = 52.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.