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Finding the Third Proportional to 19,803 and 27,879

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Solution

The third proportional to 19,803 and 27,879 is: 39,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803 : 27,879 = 27,879 : x
  2. Step 2: Convert to fraction form
    19,803/27,879 = 27,879/x
  3. Step 3: Cross multiply
    19,803x = 27,879 × 27,879
  4. Step 4: Simplify right side
    19,803x = 777,238,641
  5. Step 5: Solve for x
    x = 777,238,641/19,803
  6. Step 6: Final answer
    x = 39,248.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.