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Finding the Third Proportional to 16,415.31 and 35,963.76

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Solution

The third proportional to 16,415.31 and 35,963.76 is: 78,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.31 : 35,963.76 = 35,963.76 : x
  2. Step 2: Convert to fraction form
    16,415.31/35,963.76 = 35,963.76/x
  3. Step 3: Cross multiply
    16,415.31x = 35,963.76 × 35,963.76
  4. Step 4: Simplify right side
    16,415.31x = 1,293,392,227.20
  5. Step 5: Solve for x
    x = 1,293,392,227.20/16,415.31
  6. Step 6: Final answer
    x = 78,791.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.