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Finding the Third Proportional to 5,889.80 and 12,818.39

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Solution

The third proportional to 5,889.80 and 12,818.39 is: 27,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.80 : 12,818.39 = 12,818.39 : x
  2. Step 2: Convert to fraction form
    5,889.80/12,818.39 = 12,818.39/x
  3. Step 3: Cross multiply
    5,889.80x = 12,818.39 × 12,818.39
  4. Step 4: Simplify right side
    5,889.80x = 164,311,138.22
  5. Step 5: Solve for x
    x = 164,311,138.22/5,889.80
  6. Step 6: Final answer
    x = 27,897.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.