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Finding the Third Proportional to 9.81 and 21.47

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Solution

The third proportional to 9.81 and 21.47 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.81 : 21.47 = 21.47 : x
  2. Step 2: Convert to fraction form
    9.81/21.47 = 21.47/x
  3. Step 3: Cross multiply
    9.81x = 21.47 × 21.47
  4. Step 4: Simplify right side
    9.81x = 460.91
  5. Step 5: Solve for x
    x = 460.91/9.81
  6. Step 6: Final answer
    x = 46.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.