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Finding the Third Proportional to 10,162.13 and 11,620.13

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Solution

The third proportional to 10,162.13 and 11,620.13 is: 13,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.13 : 11,620.13 = 11,620.13 : x
  2. Step 2: Convert to fraction form
    10,162.13/11,620.13 = 11,620.13/x
  3. Step 3: Cross multiply
    10,162.13x = 11,620.13 × 11,620.13
  4. Step 4: Simplify right side
    10,162.13x = 135,027,305.02
  5. Step 5: Solve for x
    x = 135,027,305.02/10,162.13
  6. Step 6: Final answer
    x = 13,287.31

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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.