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Finding the Third Proportional to 5.86 and 14.19

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Solution

The third proportional to 5.86 and 14.19 is: 34.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.86 : 14.19 = 14.19 : x
  2. Step 2: Convert to fraction form
    5.86/14.19 = 14.19/x
  3. Step 3: Cross multiply
    5.86x = 14.19 × 14.19
  4. Step 4: Simplify right side
    5.86x = 201.38
  5. Step 5: Solve for x
    x = 201.38/5.86
  6. Step 6: Final answer
    x = 34.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.