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Finding the Third Proportional to 4.66 and 6.98

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Solution

The third proportional to 4.66 and 6.98 is: 10.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.66 : 6.98 = 6.98 : x
  2. Step 2: Convert to fraction form
    4.66/6.98 = 6.98/x
  3. Step 3: Cross multiply
    4.66x = 6.98 × 6.98
  4. Step 4: Simplify right side
    4.66x = 48.73
  5. Step 5: Solve for x
    x = 48.73/4.66
  6. Step 6: Final answer
    x = 10.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.