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Finding the Third Proportional to 5.86 and 9.46

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Solution

The third proportional to 5.86 and 9.46 is: 15.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.86 : 9.46 = 9.46 : x
  2. Step 2: Convert to fraction form
    5.86/9.46 = 9.46/x
  3. Step 3: Cross multiply
    5.86x = 9.46 × 9.46
  4. Step 4: Simplify right side
    5.86x = 89.56
  5. Step 5: Solve for x
    x = 89.56/5.86
  6. Step 6: Final answer
    x = 15.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.