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Finding the Third Proportional to 24.30 and 34.03

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Solution

The third proportional to 24.30 and 34.03 is: 47.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.30 : 34.03 = 34.03 : x
  2. Step 2: Convert to fraction form
    24.30/34.03 = 34.03/x
  3. Step 3: Cross multiply
    24.30x = 34.03 × 34.03
  4. Step 4: Simplify right side
    24.30x = 1,158.13
  5. Step 5: Solve for x
    x = 1,158.13/24.30
  6. Step 6: Final answer
    x = 47.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.