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Finding the Third Proportional to 10.13 and 22.38

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Solution

The third proportional to 10.13 and 22.38 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 22.38 = 22.38 : x
  2. Step 2: Convert to fraction form
    10.13/22.38 = 22.38/x
  3. Step 3: Cross multiply
    10.13x = 22.38 × 22.38
  4. Step 4: Simplify right side
    10.13x = 500.64
  5. Step 5: Solve for x
    x = 500.64/10.13
  6. Step 6: Final answer
    x = 49.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.