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Finding the Third Proportional to 31,694.63 and 44,308.69

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Solution

The third proportional to 31,694.63 and 44,308.69 is: 61,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.63 : 44,308.69 = 44,308.69 : x
  2. Step 2: Convert to fraction form
    31,694.63/44,308.69 = 44,308.69/x
  3. Step 3: Cross multiply
    31,694.63x = 44,308.69 × 44,308.69
  4. Step 4: Simplify right side
    31,694.63x = 1,963,259,787.97
  5. Step 5: Solve for x
    x = 1,963,259,787.97/31,694.63
  6. Step 6: Final answer
    x = 61,942.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.