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Finding the Third Proportional to 16,248 and 33,772.50

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Solution

The third proportional to 16,248 and 33,772.50 is: 70,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,248 : 33,772.50 = 33,772.50 : x
  2. Step 2: Convert to fraction form
    16,248/33,772.50 = 33,772.50/x
  3. Step 3: Cross multiply
    16,248x = 33,772.50 × 33,772.50
  4. Step 4: Simplify right side
    16,248x = 1,140,581,756.25
  5. Step 5: Solve for x
    x = 1,140,581,756.25/16,248
  6. Step 6: Final answer
    x = 70,198.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.