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Finding the Third Proportional to 3.90 and 9.46

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Solution

The third proportional to 3.90 and 9.46 is: 22.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.90 : 9.46 = 9.46 : x
  2. Step 2: Convert to fraction form
    3.90/9.46 = 9.46/x
  3. Step 3: Cross multiply
    3.90x = 9.46 × 9.46
  4. Step 4: Simplify right side
    3.90x = 89.50
  5. Step 5: Solve for x
    x = 89.50/3.90
  6. Step 6: Final answer
    x = 22.92

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.