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Finding the Third Proportional to 16,914 and 24,040.75

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Solution

The third proportional to 16,914 and 24,040.75 is: 34,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914 : 24,040.75 = 24,040.75 : x
  2. Step 2: Convert to fraction form
    16,914/24,040.75 = 24,040.75/x
  3. Step 3: Cross multiply
    16,914x = 24,040.75 × 24,040.75
  4. Step 4: Simplify right side
    16,914x = 577,957,660.56
  5. Step 5: Solve for x
    x = 577,957,660.56/16,914
  6. Step 6: Final answer
    x = 34,170.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.