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Finding the Third Proportional to 10 and 19

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Solution

The third proportional to 10 and 19 is: 36.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10 : 19 = 19 : x
  2. Step 2: Convert to fraction form
    10/19 = 19/x
  3. Step 3: Cross multiply
    10x = 19 × 19
  4. Step 4: Simplify right side
    10x = 361
  5. Step 5: Solve for x
    x = 361/10
  6. Step 6: Final answer
    x = 36.10

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.