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Finding the Third Proportional to 11,823.47 and 26,107.31

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Solution

The third proportional to 11,823.47 and 26,107.31 is: 57,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.47 : 26,107.31 = 26,107.31 : x
  2. Step 2: Convert to fraction form
    11,823.47/26,107.31 = 26,107.31/x
  3. Step 3: Cross multiply
    11,823.47x = 26,107.31 × 26,107.31
  4. Step 4: Simplify right side
    11,823.47x = 681,591,765.97
  5. Step 5: Solve for x
    x = 681,591,765.97/11,823.47
  6. Step 6: Final answer
    x = 57,647.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.