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Finding the Third Proportional to 16,170.75 and 19,734.75

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Solution

The third proportional to 16,170.75 and 19,734.75 is: 24,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.75 : 19,734.75 = 19,734.75 : x
  2. Step 2: Convert to fraction form
    16,170.75/19,734.75 = 19,734.75/x
  3. Step 3: Cross multiply
    16,170.75x = 19,734.75 × 19,734.75
  4. Step 4: Simplify right side
    16,170.75x = 389,460,357.56
  5. Step 5: Solve for x
    x = 389,460,357.56/16,170.75
  6. Step 6: Final answer
    x = 24,084.25

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.