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Finding the Third Proportional to 41.69 and 61.06

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Solution

The third proportional to 41.69 and 61.06 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.69 : 61.06 = 61.06 : x
  2. Step 2: Convert to fraction form
    41.69/61.06 = 61.06/x
  3. Step 3: Cross multiply
    41.69x = 61.06 × 61.06
  4. Step 4: Simplify right side
    41.69x = 3,728.63
  5. Step 5: Solve for x
    x = 3,728.63/41.69
  6. Step 6: Final answer
    x = 89.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.