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Finding the Third Proportional to 23.04 and 32.74

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Solution

The third proportional to 23.04 and 32.74 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.04 : 32.74 = 32.74 : x
  2. Step 2: Convert to fraction form
    23.04/32.74 = 32.74/x
  3. Step 3: Cross multiply
    23.04x = 32.74 × 32.74
  4. Step 4: Simplify right side
    23.04x = 1,072.05
  5. Step 5: Solve for x
    x = 1,072.05/23.04
  6. Step 6: Final answer
    x = 46.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.