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Finding the Third Proportional to 42,788.25 and 56,787.75

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Solution

The third proportional to 42,788.25 and 56,787.75 is: 75,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,788.25 : 56,787.75 = 56,787.75 : x
  2. Step 2: Convert to fraction form
    42,788.25/56,787.75 = 56,787.75/x
  3. Step 3: Cross multiply
    42,788.25x = 56,787.75 × 56,787.75
  4. Step 4: Simplify right side
    42,788.25x = 3,224,848,550.06
  5. Step 5: Solve for x
    x = 3,224,848,550.06/42,788.25
  6. Step 6: Final answer
    x = 75,367.62

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.