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Finding the Third Proportional to 19,867.88 and 27,846.56

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Solution

The third proportional to 19,867.88 and 27,846.56 is: 39,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,867.88 : 27,846.56 = 27,846.56 : x
  2. Step 2: Convert to fraction form
    19,867.88/27,846.56 = 27,846.56/x
  3. Step 3: Cross multiply
    19,867.88x = 27,846.56 × 27,846.56
  4. Step 4: Simplify right side
    19,867.88x = 775,431,043.07
  5. Step 5: Solve for x
    x = 775,431,043.07/19,867.88
  6. Step 6: Final answer
    x = 39,029.39

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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.