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Finding the Third Proportional to 11,041.31 and 23,842.69

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Solution

The third proportional to 11,041.31 and 23,842.69 is: 51,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.31 : 23,842.69 = 23,842.69 : x
  2. Step 2: Convert to fraction form
    11,041.31/23,842.69 = 23,842.69/x
  3. Step 3: Cross multiply
    11,041.31x = 23,842.69 × 23,842.69
  4. Step 4: Simplify right side
    11,041.31x = 568,473,747.22
  5. Step 5: Solve for x
    x = 568,473,747.22/11,041.31
  6. Step 6: Final answer
    x = 51,486.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.