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Finding the Third Proportional to 3.46 and 9.00

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Solution

The third proportional to 3.46 and 9.00 is: 23.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.46 : 9.00 = 9.00 : x
  2. Step 2: Convert to fraction form
    3.46/9.00 = 9.00/x
  3. Step 3: Cross multiply
    3.46x = 9.00 × 9.00
  4. Step 4: Simplify right side
    3.46x = 80.93
  5. Step 5: Solve for x
    x = 80.93/3.46
  6. Step 6: Final answer
    x = 23.37

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.