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Finding the Third Proportional to 5.84 and 9.84

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Solution

The third proportional to 5.84 and 9.84 is: 16.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.84 : 9.84 = 9.84 : x
  2. Step 2: Convert to fraction form
    5.84/9.84 = 9.84/x
  3. Step 3: Cross multiply
    5.84x = 9.84 × 9.84
  4. Step 4: Simplify right side
    5.84x = 96.90
  5. Step 5: Solve for x
    x = 96.90/5.84
  6. Step 6: Final answer
    x = 16.60

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.