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Finding the Third Proportional to 6,138.12 and 13,400.71

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Solution

The third proportional to 6,138.12 and 13,400.71 is: 29,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.12 : 13,400.71 = 13,400.71 : x
  2. Step 2: Convert to fraction form
    6,138.12/13,400.71 = 13,400.71/x
  3. Step 3: Cross multiply
    6,138.12x = 13,400.71 × 13,400.71
  4. Step 4: Simplify right side
    6,138.12x = 179,579,145.24
  5. Step 5: Solve for x
    x = 179,579,145.24/6,138.12
  6. Step 6: Final answer
    x = 29,256.36

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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.