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Finding the Third Proportional to 6.90 and 9.27

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Solution

The third proportional to 6.90 and 9.27 is: 12.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.90 : 9.27 = 9.27 : x
  2. Step 2: Convert to fraction form
    6.90/9.27 = 9.27/x
  3. Step 3: Cross multiply
    6.90x = 9.27 × 9.27
  4. Step 4: Simplify right side
    6.90x = 86.01
  5. Step 5: Solve for x
    x = 86.01/6.90
  6. Step 6: Final answer
    x = 12.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.