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Finding the Third Proportional to 16,116.50 and 24,498.75

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Solution

The third proportional to 16,116.50 and 24,498.75 is: 37,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.50 : 24,498.75 = 24,498.75 : x
  2. Step 2: Convert to fraction form
    16,116.50/24,498.75 = 24,498.75/x
  3. Step 3: Cross multiply
    16,116.50x = 24,498.75 × 24,498.75
  4. Step 4: Simplify right side
    16,116.50x = 600,188,751.56
  5. Step 5: Solve for x
    x = 600,188,751.56/16,116.50
  6. Step 6: Final answer
    x = 37,240.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.