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Finding the Third Proportional to 8,127.84 and 18,884.39

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Solution

The third proportional to 8,127.84 and 18,884.39 is: 43,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.84 : 18,884.39 = 18,884.39 : x
  2. Step 2: Convert to fraction form
    8,127.84/18,884.39 = 18,884.39/x
  3. Step 3: Cross multiply
    8,127.84x = 18,884.39 × 18,884.39
  4. Step 4: Simplify right side
    8,127.84x = 356,620,209.28
  5. Step 5: Solve for x
    x = 356,620,209.28/8,127.84
  6. Step 6: Final answer
    x = 43,876.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.