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Finding the Third Proportional to 9.29 and 23.83

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Solution

The third proportional to 9.29 and 23.83 is: 61.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.29 : 23.83 = 23.83 : x
  2. Step 2: Convert to fraction form
    9.29/23.83 = 23.83/x
  3. Step 3: Cross multiply
    9.29x = 23.83 × 23.83
  4. Step 4: Simplify right side
    9.29x = 567.85
  5. Step 5: Solve for x
    x = 567.85/9.29
  6. Step 6: Final answer
    x = 61.10

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.