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Finding the Third Proportional to 10.84 and 23.39

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Solution

The third proportional to 10.84 and 23.39 is: 50.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.84 : 23.39 = 23.39 : x
  2. Step 2: Convert to fraction form
    10.84/23.39 = 23.39/x
  3. Step 3: Cross multiply
    10.84x = 23.39 × 23.39
  4. Step 4: Simplify right side
    10.84x = 547.11
  5. Step 5: Solve for x
    x = 547.11/10.84
  6. Step 6: Final answer
    x = 50.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.