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Finding the Third Proportional to 5.04 and 10.14

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Solution

The third proportional to 5.04 and 10.14 is: 20.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.04 : 10.14 = 10.14 : x
  2. Step 2: Convert to fraction form
    5.04/10.14 = 10.14/x
  3. Step 3: Cross multiply
    5.04x = 10.14 × 10.14
  4. Step 4: Simplify right side
    5.04x = 102.92
  5. Step 5: Solve for x
    x = 102.92/5.04
  6. Step 6: Final answer
    x = 20.42

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.