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Finding the Third Proportional to 9.84 and 21.84

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Solution

The third proportional to 9.84 and 21.84 is: 48.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.84 : 21.84 = 21.84 : x
  2. Step 2: Convert to fraction form
    9.84/21.84 = 21.84/x
  3. Step 3: Cross multiply
    9.84x = 21.84 × 21.84
  4. Step 4: Simplify right side
    9.84x = 477.15
  5. Step 5: Solve for x
    x = 477.15/9.84
  6. Step 6: Final answer
    x = 48.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.