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Finding the Third Proportional to 10.38 and 24.13

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Solution

The third proportional to 10.38 and 24.13 is: 56.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 24.13 = 24.13 : x
  2. Step 2: Convert to fraction form
    10.38/24.13 = 24.13/x
  3. Step 3: Cross multiply
    10.38x = 24.13 × 24.13
  4. Step 4: Simplify right side
    10.38x = 582.02
  5. Step 5: Solve for x
    x = 582.02/10.38
  6. Step 6: Final answer
    x = 56.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.