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Finding the Third Proportional to 16,184.75 and 21,867

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Solution

The third proportional to 16,184.75 and 21,867 is: 29,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.75 : 21,867 = 21,867 : x
  2. Step 2: Convert to fraction form
    16,184.75/21,867 = 21,867/x
  3. Step 3: Cross multiply
    16,184.75x = 21,867 × 21,867
  4. Step 4: Simplify right side
    16,184.75x = 478,165,689
  5. Step 5: Solve for x
    x = 478,165,689/16,184.75
  6. Step 6: Final answer
    x = 29,544.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.