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Finding the Third Proportional to 5.34 and 13.86

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Solution

The third proportional to 5.34 and 13.86 is: 36.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 13.86 = 13.86 : x
  2. Step 2: Convert to fraction form
    5.34/13.86 = 13.86/x
  3. Step 3: Cross multiply
    5.34x = 13.86 × 13.86
  4. Step 4: Simplify right side
    5.34x = 192.23
  5. Step 5: Solve for x
    x = 192.23/5.34
  6. Step 6: Final answer
    x = 36.01

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.