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Finding the Third Proportional to 30.97 and 66.90

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Solution

The third proportional to 30.97 and 66.90 is: 144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 66.90 = 66.90 : x
  2. Step 2: Convert to fraction form
    30.97/66.90 = 66.90/x
  3. Step 3: Cross multiply
    30.97x = 66.90 × 66.90
  4. Step 4: Simplify right side
    30.97x = 4,475.92
  5. Step 5: Solve for x
    x = 4,475.92/30.97
  6. Step 6: Final answer
    x = 144.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.