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Finding the Third Proportional to 4.14 and 8.87

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Solution

The third proportional to 4.14 and 8.87 is: 18.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.14 : 8.87 = 8.87 : x
  2. Step 2: Convert to fraction form
    4.14/8.87 = 8.87/x
  3. Step 3: Cross multiply
    4.14x = 8.87 × 8.87
  4. Step 4: Simplify right side
    4.14x = 78.61
  5. Step 5: Solve for x
    x = 78.61/4.14
  6. Step 6: Final answer
    x = 18.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.