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Finding the Third Proportional to 42.44 and 61.94

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Solution

The third proportional to 42.44 and 61.94 is: 90.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.44 : 61.94 = 61.94 : x
  2. Step 2: Convert to fraction form
    42.44/61.94 = 61.94/x
  3. Step 3: Cross multiply
    42.44x = 61.94 × 61.94
  4. Step 4: Simplify right side
    42.44x = 3,836.25
  5. Step 5: Solve for x
    x = 3,836.25/42.44
  6. Step 6: Final answer
    x = 90.40

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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.