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Finding the Third Proportional to 5,194.34 and 11,482.17

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Solution

The third proportional to 5,194.34 and 11,482.17 is: 25,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.34 : 11,482.17 = 11,482.17 : x
  2. Step 2: Convert to fraction form
    5,194.34/11,482.17 = 11,482.17/x
  3. Step 3: Cross multiply
    5,194.34x = 11,482.17 × 11,482.17
  4. Step 4: Simplify right side
    5,194.34x = 131,840,270.97
  5. Step 5: Solve for x
    x = 131,840,270.97/5,194.34
  6. Step 6: Final answer
    x = 25,381.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.