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Finding the Third Proportional to 16,269.75 and 22,100.63

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Solution

The third proportional to 16,269.75 and 22,100.63 is: 30,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.75 : 22,100.63 = 22,100.63 : x
  2. Step 2: Convert to fraction form
    16,269.75/22,100.63 = 22,100.63/x
  3. Step 3: Cross multiply
    16,269.75x = 22,100.63 × 22,100.63
  4. Step 4: Simplify right side
    16,269.75x = 488,437,625.39
  5. Step 5: Solve for x
    x = 488,437,625.39/16,269.75
  6. Step 6: Final answer
    x = 30,021.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.