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Finding the Third Proportional to 4.50 and 9.84

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Solution

The third proportional to 4.50 and 9.84 is: 21.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.50 : 9.84 = 9.84 : x
  2. Step 2: Convert to fraction form
    4.50/9.84 = 9.84/x
  3. Step 3: Cross multiply
    4.50x = 9.84 × 9.84
  4. Step 4: Simplify right side
    4.50x = 96.90
  5. Step 5: Solve for x
    x = 96.90/4.50
  6. Step 6: Final answer
    x = 21.53

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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.