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Finding the Third Proportional to 10.24 and 22.39

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Solution

The third proportional to 10.24 and 22.39 is: 48.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 22.39 = 22.39 : x
  2. Step 2: Convert to fraction form
    10.24/22.39 = 22.39/x
  3. Step 3: Cross multiply
    10.24x = 22.39 × 22.39
  4. Step 4: Simplify right side
    10.24x = 501.40
  5. Step 5: Solve for x
    x = 501.40/10.24
  6. Step 6: Final answer
    x = 48.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.