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Finding the Third Proportional to 10.44 and 24.62

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Solution

The third proportional to 10.44 and 24.62 is: 58.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.44 : 24.62 = 24.62 : x
  2. Step 2: Convert to fraction form
    10.44/24.62 = 24.62/x
  3. Step 3: Cross multiply
    10.44x = 24.62 × 24.62
  4. Step 4: Simplify right side
    10.44x = 606.26
  5. Step 5: Solve for x
    x = 606.26/10.44
  6. Step 6: Final answer
    x = 58.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.