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Finding the Third Proportional to 46,439.58 and 69,761.88

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Solution

The third proportional to 46,439.58 and 69,761.88 is: 104,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,439.58 : 69,761.88 = 69,761.88 : x
  2. Step 2: Convert to fraction form
    46,439.58/69,761.88 = 69,761.88/x
  3. Step 3: Cross multiply
    46,439.58x = 69,761.88 × 69,761.88
  4. Step 4: Simplify right side
    46,439.58x = 4,866,720,293.54
  5. Step 5: Solve for x
    x = 4,866,720,293.54/46,439.58
  6. Step 6: Final answer
    x = 104,796.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.