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Finding the Third Proportional to 6,031.13 and 13,201.31

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Solution

The third proportional to 6,031.13 and 13,201.31 is: 28,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.13 : 13,201.31 = 13,201.31 : x
  2. Step 2: Convert to fraction form
    6,031.13/13,201.31 = 13,201.31/x
  3. Step 3: Cross multiply
    6,031.13x = 13,201.31 × 13,201.31
  4. Step 4: Simplify right side
    6,031.13x = 174,274,651.72
  5. Step 5: Solve for x
    x = 174,274,651.72/6,031.13
  6. Step 6: Final answer
    x = 28,895.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.