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Finding the Third Proportional to 5.08 and 10.84

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Solution

The third proportional to 5.08 and 10.84 is: 23.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.08 : 10.84 = 10.84 : x
  2. Step 2: Convert to fraction form
    5.08/10.84 = 10.84/x
  3. Step 3: Cross multiply
    5.08x = 10.84 × 10.84
  4. Step 4: Simplify right side
    5.08x = 117.46
  5. Step 5: Solve for x
    x = 117.46/5.08
  6. Step 6: Final answer
    x = 23.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.