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Finding the Third Proportional to 7.50 and 16.13

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Solution

The third proportional to 7.50 and 16.13 is: 34.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.50 : 16.13 = 16.13 : x
  2. Step 2: Convert to fraction form
    7.50/16.13 = 16.13/x
  3. Step 3: Cross multiply
    7.50x = 16.13 × 16.13
  4. Step 4: Simplify right side
    7.50x = 260.02
  5. Step 5: Solve for x
    x = 260.02/7.50
  6. Step 6: Final answer
    x = 34.67

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Why These Related Problems?

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