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Finding the Third Proportional to 40.02 and 85.98

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Solution

The third proportional to 40.02 and 85.98 is: 184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.02 : 85.98 = 85.98 : x
  2. Step 2: Convert to fraction form
    40.02/85.98 = 85.98/x
  3. Step 3: Cross multiply
    40.02x = 85.98 × 85.98
  4. Step 4: Simplify right side
    40.02x = 7,392.64
  5. Step 5: Solve for x
    x = 7,392.64/40.02
  6. Step 6: Final answer
    x = 184.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.