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Finding the Third Proportional to 5.14 and 7.36

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Solution

The third proportional to 5.14 and 7.36 is: 10.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.36 = 7.36 : x
  2. Step 2: Convert to fraction form
    5.14/7.36 = 7.36/x
  3. Step 3: Cross multiply
    5.14x = 7.36 × 7.36
  4. Step 4: Simplify right side
    5.14x = 54.22
  5. Step 5: Solve for x
    x = 54.22/5.14
  6. Step 6: Final answer
    x = 10.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.