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Finding the Third Proportional to 42.94 and 64.41

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Solution

The third proportional to 42.94 and 64.41 is: 96.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.94 : 64.41 = 64.41 : x
  2. Step 2: Convert to fraction form
    42.94/64.41 = 64.41/x
  3. Step 3: Cross multiply
    42.94x = 64.41 × 64.41
  4. Step 4: Simplify right side
    42.94x = 4,148.17
  5. Step 5: Solve for x
    x = 4,148.17/42.94
  6. Step 6: Final answer
    x = 96.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.