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Finding the Third Proportional to 51.89 and 68.03

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Solution

The third proportional to 51.89 and 68.03 is: 89.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.89 : 68.03 = 68.03 : x
  2. Step 2: Convert to fraction form
    51.89/68.03 = 68.03/x
  3. Step 3: Cross multiply
    51.89x = 68.03 × 68.03
  4. Step 4: Simplify right side
    51.89x = 4,627.72
  5. Step 5: Solve for x
    x = 4,627.72/51.89
  6. Step 6: Final answer
    x = 89.18

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.