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Finding the Third Proportional to 10.41 and 23.17

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Solution

The third proportional to 10.41 and 23.17 is: 51.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.41 : 23.17 = 23.17 : x
  2. Step 2: Convert to fraction form
    10.41/23.17 = 23.17/x
  3. Step 3: Cross multiply
    10.41x = 23.17 × 23.17
  4. Step 4: Simplify right side
    10.41x = 537.00
  5. Step 5: Solve for x
    x = 537.00/10.41
  6. Step 6: Final answer
    x = 51.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.