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Finding the Third Proportional to 6.16 and 9.31

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Solution

The third proportional to 6.16 and 9.31 is: 14.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.16 : 9.31 = 9.31 : x
  2. Step 2: Convert to fraction form
    6.16/9.31 = 9.31/x
  3. Step 3: Cross multiply
    6.16x = 9.31 × 9.31
  4. Step 4: Simplify right side
    6.16x = 86.69
  5. Step 5: Solve for x
    x = 86.69/6.16
  6. Step 6: Final answer
    x = 14.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.