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Finding the Third Proportional to 6,733.13 and 10,335.09

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Solution

The third proportional to 6,733.13 and 10,335.09 is: 15,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.13 : 10,335.09 = 10,335.09 : x
  2. Step 2: Convert to fraction form
    6,733.13/10,335.09 = 10,335.09/x
  3. Step 3: Cross multiply
    6,733.13x = 10,335.09 × 10,335.09
  4. Step 4: Simplify right side
    6,733.13x = 106,814,162.82
  5. Step 5: Solve for x
    x = 106,814,162.82/6,733.13
  6. Step 6: Final answer
    x = 15,863.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.