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Finding the Third Proportional to 16,054 and 24,019

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Solution

The third proportional to 16,054 and 24,019 is: 35,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054 : 24,019 = 24,019 : x
  2. Step 2: Convert to fraction form
    16,054/24,019 = 24,019/x
  3. Step 3: Cross multiply
    16,054x = 24,019 × 24,019
  4. Step 4: Simplify right side
    16,054x = 576,912,361
  5. Step 5: Solve for x
    x = 576,912,361/16,054
  6. Step 6: Final answer
    x = 35,935.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.