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Finding the Third Proportional to 16,767 and 19,257.75

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Solution

The third proportional to 16,767 and 19,257.75 is: 22,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 19,257.75 = 19,257.75 : x
  2. Step 2: Convert to fraction form
    16,767/19,257.75 = 19,257.75/x
  3. Step 3: Cross multiply
    16,767x = 19,257.75 × 19,257.75
  4. Step 4: Simplify right side
    16,767x = 370,860,935.06
  5. Step 5: Solve for x
    x = 370,860,935.06/16,767
  6. Step 6: Final answer
    x = 22,118.50

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.