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Finding the Third Proportional to 5,992.88 and 13,031.44

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Solution

The third proportional to 5,992.88 and 13,031.44 is: 28,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.88 : 13,031.44 = 13,031.44 : x
  2. Step 2: Convert to fraction form
    5,992.88/13,031.44 = 13,031.44/x
  3. Step 3: Cross multiply
    5,992.88x = 13,031.44 × 13,031.44
  4. Step 4: Simplify right side
    5,992.88x = 169,818,363.32
  5. Step 5: Solve for x
    x = 169,818,363.32/5,992.88
  6. Step 6: Final answer
    x = 28,336.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.