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Finding the Third Proportional to 16,299 and 24,604.50

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Solution

The third proportional to 16,299 and 24,604.50 is: 37,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299 : 24,604.50 = 24,604.50 : x
  2. Step 2: Convert to fraction form
    16,299/24,604.50 = 24,604.50/x
  3. Step 3: Cross multiply
    16,299x = 24,604.50 × 24,604.50
  4. Step 4: Simplify right side
    16,299x = 605,381,420.25
  5. Step 5: Solve for x
    x = 605,381,420.25/16,299
  6. Step 6: Final answer
    x = 37,142.24

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