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Finding the Third Proportional to 11,107.13 and 12,610.69

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Solution

The third proportional to 11,107.13 and 12,610.69 is: 14,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.13 : 12,610.69 = 12,610.69 : x
  2. Step 2: Convert to fraction form
    11,107.13/12,610.69 = 12,610.69/x
  3. Step 3: Cross multiply
    11,107.13x = 12,610.69 × 12,610.69
  4. Step 4: Simplify right side
    11,107.13x = 159,029,439.22
  5. Step 5: Solve for x
    x = 159,029,439.22/11,107.13
  6. Step 6: Final answer
    x = 14,317.79

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.