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Finding the Third Proportional to 23.02 and 29.43

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Solution

The third proportional to 23.02 and 29.43 is: 37.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.02 : 29.43 = 29.43 : x
  2. Step 2: Convert to fraction form
    23.02/29.43 = 29.43/x
  3. Step 3: Cross multiply
    23.02x = 29.43 × 29.43
  4. Step 4: Simplify right side
    23.02x = 865.88
  5. Step 5: Solve for x
    x = 865.88/23.02
  6. Step 6: Final answer
    x = 37.62

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.