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Finding the Third Proportional to 12,849.10 and 19,273.65

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Solution

The third proportional to 12,849.10 and 19,273.65 is: 28,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.10 : 19,273.65 = 19,273.65 : x
  2. Step 2: Convert to fraction form
    12,849.10/19,273.65 = 19,273.65/x
  3. Step 3: Cross multiply
    12,849.10x = 19,273.65 × 19,273.65
  4. Step 4: Simplify right side
    12,849.10x = 371,473,561.74
  5. Step 5: Solve for x
    x = 371,473,561.74/12,849.10
  6. Step 6: Final answer
    x = 28,910.47

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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.