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Finding the Third Proportional to 7.04 and 15.46

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Solution

The third proportional to 7.04 and 15.46 is: 33.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.04 : 15.46 = 15.46 : x
  2. Step 2: Convert to fraction form
    7.04/15.46 = 15.46/x
  3. Step 3: Cross multiply
    7.04x = 15.46 × 15.46
  4. Step 4: Simplify right side
    7.04x = 239.00
  5. Step 5: Solve for x
    x = 239.00/7.04
  6. Step 6: Final answer
    x = 33.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.