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Finding the Third Proportional to 16,220.25 and 34,350.75

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Solution

The third proportional to 16,220.25 and 34,350.75 is: 72,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.25 : 34,350.75 = 34,350.75 : x
  2. Step 2: Convert to fraction form
    16,220.25/34,350.75 = 34,350.75/x
  3. Step 3: Cross multiply
    16,220.25x = 34,350.75 × 34,350.75
  4. Step 4: Simplify right side
    16,220.25x = 1,179,974,025.56
  5. Step 5: Solve for x
    x = 1,179,974,025.56/16,220.25
  6. Step 6: Final answer
    x = 72,746.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.