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Finding the Third Proportional to 9.84 and 21.59

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Solution

The third proportional to 9.84 and 21.59 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.84 : 21.59 = 21.59 : x
  2. Step 2: Convert to fraction form
    9.84/21.59 = 21.59/x
  3. Step 3: Cross multiply
    9.84x = 21.59 × 21.59
  4. Step 4: Simplify right side
    9.84x = 465.95
  5. Step 5: Solve for x
    x = 465.95/9.84
  6. Step 6: Final answer
    x = 47.33

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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.