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Finding the Third Proportional to 6.46 and 9.45

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Solution

The third proportional to 6.46 and 9.45 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.46 : 9.45 = 9.45 : x
  2. Step 2: Convert to fraction form
    6.46/9.45 = 9.45/x
  3. Step 3: Cross multiply
    6.46x = 9.45 × 9.45
  4. Step 4: Simplify right side
    6.46x = 89.37
  5. Step 5: Solve for x
    x = 89.37/6.46
  6. Step 6: Final answer
    x = 13.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.