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Finding the Third Proportional to 19,867.50 and 27,846

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Solution

The third proportional to 19,867.50 and 27,846 is: 39,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,867.50 : 27,846 = 27,846 : x
  2. Step 2: Convert to fraction form
    19,867.50/27,846 = 27,846/x
  3. Step 3: Cross multiply
    19,867.50x = 27,846 × 27,846
  4. Step 4: Simplify right side
    19,867.50x = 775,399,716
  5. Step 5: Solve for x
    x = 775,399,716/19,867.50
  6. Step 6: Final answer
    x = 39,028.55

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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.