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Finding the Third Proportional to 13.13 and 27.19

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Solution

The third proportional to 13.13 and 27.19 is: 56.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 27.19 = 27.19 : x
  2. Step 2: Convert to fraction form
    13.13/27.19 = 27.19/x
  3. Step 3: Cross multiply
    13.13x = 27.19 × 27.19
  4. Step 4: Simplify right side
    13.13x = 739.16
  5. Step 5: Solve for x
    x = 739.16/13.13
  6. Step 6: Final answer
    x = 56.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.