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Finding the Third Proportional to 29,759.25 and 46,108.50

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Solution

The third proportional to 29,759.25 and 46,108.50 is: 71,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,759.25 : 46,108.50 = 46,108.50 : x
  2. Step 2: Convert to fraction form
    29,759.25/46,108.50 = 46,108.50/x
  3. Step 3: Cross multiply
    29,759.25x = 46,108.50 × 46,108.50
  4. Step 4: Simplify right side
    29,759.25x = 2,125,993,772.25
  5. Step 5: Solve for x
    x = 2,125,993,772.25/29,759.25
  6. Step 6: Final answer
    x = 71,439.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.