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Finding the Third Proportional to 19,107.14 and 27,521.65

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Solution

The third proportional to 19,107.14 and 27,521.65 is: 39,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107.14 : 27,521.65 = 27,521.65 : x
  2. Step 2: Convert to fraction form
    19,107.14/27,521.65 = 27,521.65/x
  3. Step 3: Cross multiply
    19,107.14x = 27,521.65 × 27,521.65
  4. Step 4: Simplify right side
    19,107.14x = 757,441,132.72
  5. Step 5: Solve for x
    x = 757,441,132.72/19,107.14
  6. Step 6: Final answer
    x = 39,641.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.