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Finding the Third Proportional to 1.90 and 4.10

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Solution

The third proportional to 1.90 and 4.10 is: 8.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.90 : 4.10 = 4.10 : x
  2. Step 2: Convert to fraction form
    1.90/4.10 = 4.10/x
  3. Step 3: Cross multiply
    1.90x = 4.10 × 4.10
  4. Step 4: Simplify right side
    1.90x = 16.85
  5. Step 5: Solve for x
    x = 16.85/1.90
  6. Step 6: Final answer
    x = 8.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.