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Finding the Third Proportional to 9,011.25 and 19,267.88

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Solution

The third proportional to 9,011.25 and 19,267.88 is: 41,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.25 : 19,267.88 = 19,267.88 : x
  2. Step 2: Convert to fraction form
    9,011.25/19,267.88 = 19,267.88/x
  3. Step 3: Cross multiply
    9,011.25x = 19,267.88 × 19,267.88
  4. Step 4: Simplify right side
    9,011.25x = 371,251,007.02
  5. Step 5: Solve for x
    x = 371,251,007.02/9,011.25
  6. Step 6: Final answer
    x = 41,198.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.