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Finding the Third Proportional to 10.39 and 22.83

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Solution

The third proportional to 10.39 and 22.83 is: 50.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.39 : 22.83 = 22.83 : x
  2. Step 2: Convert to fraction form
    10.39/22.83 = 22.83/x
  3. Step 3: Cross multiply
    10.39x = 22.83 × 22.83
  4. Step 4: Simplify right side
    10.39x = 521.19
  5. Step 5: Solve for x
    x = 521.19/10.39
  6. Step 6: Final answer
    x = 50.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.