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Finding the Third Proportional to 24,811.31 and 53,996.63

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Solution

The third proportional to 24,811.31 and 53,996.63 is: 117,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.31 : 53,996.63 = 53,996.63 : x
  2. Step 2: Convert to fraction form
    24,811.31/53,996.63 = 53,996.63/x
  3. Step 3: Cross multiply
    24,811.31x = 53,996.63 × 53,996.63
  4. Step 4: Simplify right side
    24,811.31x = 2,915,635,511.39
  5. Step 5: Solve for x
    x = 2,915,635,511.39/24,811.31
  6. Step 6: Final answer
    x = 117,512.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.