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Finding the Third Proportional to 8,353.13 and 11,709.56

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Solution

The third proportional to 8,353.13 and 11,709.56 is: 16,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.13 : 11,709.56 = 11,709.56 : x
  2. Step 2: Convert to fraction form
    8,353.13/11,709.56 = 11,709.56/x
  3. Step 3: Cross multiply
    8,353.13x = 11,709.56 × 11,709.56
  4. Step 4: Simplify right side
    8,353.13x = 137,113,853.94
  5. Step 5: Solve for x
    x = 137,113,853.94/8,353.13
  6. Step 6: Final answer
    x = 16,414.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.