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Finding the Third Proportional to 10.36 and 22.62

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Solution

The third proportional to 10.36 and 22.62 is: 49.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.36 : 22.62 = 22.62 : x
  2. Step 2: Convert to fraction form
    10.36/22.62 = 22.62/x
  3. Step 3: Cross multiply
    10.36x = 22.62 × 22.62
  4. Step 4: Simplify right side
    10.36x = 511.80
  5. Step 5: Solve for x
    x = 511.80/10.36
  6. Step 6: Final answer
    x = 49.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.