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Finding the Third Proportional to 19,870 and 27,847

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Solution

The third proportional to 19,870 and 27,847 is: 39,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870 : 27,847 = 27,847 : x
  2. Step 2: Convert to fraction form
    19,870/27,847 = 27,847/x
  3. Step 3: Cross multiply
    19,870x = 27,847 × 27,847
  4. Step 4: Simplify right side
    19,870x = 775,455,409
  5. Step 5: Solve for x
    x = 775,455,409/19,870
  6. Step 6: Final answer
    x = 39,026.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.