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Finding the Third Proportional to 10,469.25 and 14,370.75

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Solution

The third proportional to 10,469.25 and 14,370.75 is: 19,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.25 : 14,370.75 = 14,370.75 : x
  2. Step 2: Convert to fraction form
    10,469.25/14,370.75 = 14,370.75/x
  3. Step 3: Cross multiply
    10,469.25x = 14,370.75 × 14,370.75
  4. Step 4: Simplify right side
    10,469.25x = 206,518,455.56
  5. Step 5: Solve for x
    x = 206,518,455.56/10,469.25
  6. Step 6: Final answer
    x = 19,726.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.