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Finding the Third Proportional to 16,227.75 and 32,224.13

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Solution

The third proportional to 16,227.75 and 32,224.13 is: 63,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.75 : 32,224.13 = 32,224.13 : x
  2. Step 2: Convert to fraction form
    16,227.75/32,224.13 = 32,224.13/x
  3. Step 3: Cross multiply
    16,227.75x = 32,224.13 × 32,224.13
  4. Step 4: Simplify right side
    16,227.75x = 1,038,394,232.02
  5. Step 5: Solve for x
    x = 1,038,394,232.02/16,227.75
  6. Step 6: Final answer
    x = 63,988.80

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.