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Finding the Third Proportional to 5.91 and 9.16

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Solution

The third proportional to 5.91 and 9.16 is: 14.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.91 : 9.16 = 9.16 : x
  2. Step 2: Convert to fraction form
    5.91/9.16 = 9.16/x
  3. Step 3: Cross multiply
    5.91x = 9.16 × 9.16
  4. Step 4: Simplify right side
    5.91x = 83.84
  5. Step 5: Solve for x
    x = 83.84/5.91
  6. Step 6: Final answer
    x = 14.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.