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Finding the Third Proportional to 41 and 102.13

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Solution

The third proportional to 41 and 102.13 is: 254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41 : 102.13 = 102.13 : x
  2. Step 2: Convert to fraction form
    41/102.13 = 102.13/x
  3. Step 3: Cross multiply
    41x = 102.13 × 102.13
  4. Step 4: Simplify right side
    41x = 10,429.52
  5. Step 5: Solve for x
    x = 10,429.52/41
  6. Step 6: Final answer
    x = 254.38

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.