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Finding the Third Proportional to 16,049 and 38,660.75

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Solution

The third proportional to 16,049 and 38,660.75 is: 93,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049 : 38,660.75 = 38,660.75 : x
  2. Step 2: Convert to fraction form
    16,049/38,660.75 = 38,660.75/x
  3. Step 3: Cross multiply
    16,049x = 38,660.75 × 38,660.75
  4. Step 4: Simplify right side
    16,049x = 1,494,653,590.56
  5. Step 5: Solve for x
    x = 1,494,653,590.56/16,049
  6. Step 6: Final answer
    x = 93,130.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.