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Finding the Third Proportional to 43.03 and 70.72

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Solution

The third proportional to 43.03 and 70.72 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.03 : 70.72 = 70.72 : x
  2. Step 2: Convert to fraction form
    43.03/70.72 = 70.72/x
  3. Step 3: Cross multiply
    43.03x = 70.72 × 70.72
  4. Step 4: Simplify right side
    43.03x = 5,000.87
  5. Step 5: Solve for x
    x = 5,000.87/43.03
  6. Step 6: Final answer
    x = 116.21

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.