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Finding the Third Proportional to 41.06 and 64.41

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Solution

The third proportional to 41.06 and 64.41 is: 101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.06 : 64.41 = 64.41 : x
  2. Step 2: Convert to fraction form
    41.06/64.41 = 64.41/x
  3. Step 3: Cross multiply
    41.06x = 64.41 × 64.41
  4. Step 4: Simplify right side
    41.06x = 4,148.17
  5. Step 5: Solve for x
    x = 4,148.17/41.06
  6. Step 6: Final answer
    x = 101.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.