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Finding the Third Proportional to 7,728 and 16,872.50

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Solution

The third proportional to 7,728 and 16,872.50 is: 36,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 16,872.50 = 16,872.50 : x
  2. Step 2: Convert to fraction form
    7,728/16,872.50 = 16,872.50/x
  3. Step 3: Cross multiply
    7,728x = 16,872.50 × 16,872.50
  4. Step 4: Simplify right side
    7,728x = 284,681,256.25
  5. Step 5: Solve for x
    x = 284,681,256.25/7,728
  6. Step 6: Final answer
    x = 36,837.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.