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Finding the Third Proportional to 3.50 and 5.13

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Solution

The third proportional to 3.50 and 5.13 is: 7.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.50 : 5.13 = 5.13 : x
  2. Step 2: Convert to fraction form
    3.50/5.13 = 5.13/x
  3. Step 3: Cross multiply
    3.50x = 5.13 × 5.13
  4. Step 4: Simplify right side
    3.50x = 26.27
  5. Step 5: Solve for x
    x = 26.27/3.50
  6. Step 6: Final answer
    x = 7.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.