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Finding the Third Proportional to 34.41 and 41.06

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Solution

The third proportional to 34.41 and 41.06 is: 49.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.41 : 41.06 = 41.06 : x
  2. Step 2: Convert to fraction form
    34.41/41.06 = 41.06/x
  3. Step 3: Cross multiply
    34.41x = 41.06 × 41.06
  4. Step 4: Simplify right side
    34.41x = 1,686.13
  5. Step 5: Solve for x
    x = 1,686.13/34.41
  6. Step 6: Final answer
    x = 49.01

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.