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Finding the Third Proportional to 16,382.50 and 24,515

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Solution

The third proportional to 16,382.50 and 24,515 is: 36,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.50 : 24,515 = 24,515 : x
  2. Step 2: Convert to fraction form
    16,382.50/24,515 = 24,515/x
  3. Step 3: Cross multiply
    16,382.50x = 24,515 × 24,515
  4. Step 4: Simplify right side
    16,382.50x = 600,985,225
  5. Step 5: Solve for x
    x = 600,985,225/16,382.50
  6. Step 6: Final answer
    x = 36,684.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.