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Finding the Third Proportional to 43,432.50 and 68,828.75

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Solution

The third proportional to 43,432.50 and 68,828.75 is: 109,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,432.50 : 68,828.75 = 68,828.75 : x
  2. Step 2: Convert to fraction form
    43,432.50/68,828.75 = 68,828.75/x
  3. Step 3: Cross multiply
    43,432.50x = 68,828.75 × 68,828.75
  4. Step 4: Simplify right side
    43,432.50x = 4,737,396,826.56
  5. Step 5: Solve for x
    x = 4,737,396,826.56/43,432.50
  6. Step 6: Final answer
    x = 109,074.93

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.