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Finding the Third Proportional to 11,761.88 and 28,447.31

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Solution

The third proportional to 11,761.88 and 28,447.31 is: 68,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.88 : 28,447.31 = 28,447.31 : x
  2. Step 2: Convert to fraction form
    11,761.88/28,447.31 = 28,447.31/x
  3. Step 3: Cross multiply
    11,761.88x = 28,447.31 × 28,447.31
  4. Step 4: Simplify right side
    11,761.88x = 809,249,588.47
  5. Step 5: Solve for x
    x = 809,249,588.47/11,761.88
  6. Step 6: Final answer
    x = 68,802.77

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.