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Finding the Third Proportional to 5.09 and 7.13

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Solution

The third proportional to 5.09 and 7.13 is: 9.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 7.13 = 7.13 : x
  2. Step 2: Convert to fraction form
    5.09/7.13 = 7.13/x
  3. Step 3: Cross multiply
    5.09x = 7.13 × 7.13
  4. Step 4: Simplify right side
    5.09x = 50.77
  5. Step 5: Solve for x
    x = 50.77/5.09
  6. Step 6: Final answer
    x = 9.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.