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Finding the Third Proportional to 17,963.37 and 37,787.13

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Solution

The third proportional to 17,963.37 and 37,787.13 is: 79,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963.37 : 37,787.13 = 37,787.13 : x
  2. Step 2: Convert to fraction form
    17,963.37/37,787.13 = 37,787.13/x
  3. Step 3: Cross multiply
    17,963.37x = 37,787.13 × 37,787.13
  4. Step 4: Simplify right side
    17,963.37x = 1,427,867,406.19
  5. Step 5: Solve for x
    x = 1,427,867,406.19/17,963.37
  6. Step 6: Final answer
    x = 79,487.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.