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Finding the Third Proportional to 1.88 and 4.14

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Solution

The third proportional to 1.88 and 4.14 is: 9.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.88 : 4.14 = 4.14 : x
  2. Step 2: Convert to fraction form
    1.88/4.14 = 4.14/x
  3. Step 3: Cross multiply
    1.88x = 4.14 × 4.14
  4. Step 4: Simplify right side
    1.88x = 17.12
  5. Step 5: Solve for x
    x = 17.12/1.88
  6. Step 6: Final answer
    x = 9.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.