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Finding the Third Proportional to 5,496.75 and 10,718.44

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Solution

The third proportional to 5,496.75 and 10,718.44 is: 20,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.75 : 10,718.44 = 10,718.44 : x
  2. Step 2: Convert to fraction form
    5,496.75/10,718.44 = 10,718.44/x
  3. Step 3: Cross multiply
    5,496.75x = 10,718.44 × 10,718.44
  4. Step 4: Simplify right side
    5,496.75x = 114,884,902.44
  5. Step 5: Solve for x
    x = 114,884,902.44/5,496.75
  6. Step 6: Final answer
    x = 20,900.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.