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Finding the Third Proportional to 14,006.67 and 21,163.78

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Solution

The third proportional to 14,006.67 and 21,163.78 is: 31,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.67 : 21,163.78 = 21,163.78 : x
  2. Step 2: Convert to fraction form
    14,006.67/21,163.78 = 21,163.78/x
  3. Step 3: Cross multiply
    14,006.67x = 21,163.78 × 21,163.78
  4. Step 4: Simplify right side
    14,006.67x = 447,905,636.80
  5. Step 5: Solve for x
    x = 447,905,636.80/14,006.67
  6. Step 6: Final answer
    x = 31,978.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.