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Finding the Third Proportional to 6,163.84 and 13,478.56

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Solution

The third proportional to 6,163.84 and 13,478.56 is: 29,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.84 : 13,478.56 = 13,478.56 : x
  2. Step 2: Convert to fraction form
    6,163.84/13,478.56 = 13,478.56/x
  3. Step 3: Cross multiply
    6,163.84x = 13,478.56 × 13,478.56
  4. Step 4: Simplify right side
    6,163.84x = 181,671,647.07
  5. Step 5: Solve for x
    x = 181,671,647.07/6,163.84
  6. Step 6: Final answer
    x = 29,473.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.