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Finding the Third Proportional to 9.72 and 14.62

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Solution

The third proportional to 9.72 and 14.62 is: 21.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.72 : 14.62 = 14.62 : x
  2. Step 2: Convert to fraction form
    9.72/14.62 = 14.62/x
  3. Step 3: Cross multiply
    9.72x = 14.62 × 14.62
  4. Step 4: Simplify right side
    9.72x = 213.83
  5. Step 5: Solve for x
    x = 213.83/9.72
  6. Step 6: Final answer
    x = 21.99

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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.