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Finding the Third Proportional to 5,209.31 and 11,010.94

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Solution

The third proportional to 5,209.31 and 11,010.94 is: 23,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.31 : 11,010.94 = 11,010.94 : x
  2. Step 2: Convert to fraction form
    5,209.31/11,010.94 = 11,010.94/x
  3. Step 3: Cross multiply
    5,209.31x = 11,010.94 × 11,010.94
  4. Step 4: Simplify right side
    5,209.31x = 121,240,744.63
  5. Step 5: Solve for x
    x = 121,240,744.63/5,209.31
  6. Step 6: Final answer
    x = 23,273.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.