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Finding the Third Proportional to 40.97 and 70.56

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Solution

The third proportional to 40.97 and 70.56 is: 121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.97 : 70.56 = 70.56 : x
  2. Step 2: Convert to fraction form
    40.97/70.56 = 70.56/x
  3. Step 3: Cross multiply
    40.97x = 70.56 × 70.56
  4. Step 4: Simplify right side
    40.97x = 4,978.52
  5. Step 5: Solve for x
    x = 4,978.52/40.97
  6. Step 6: Final answer
    x = 121.50

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.