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Finding the Third Proportional to 5,787.42 and 12,453.05

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Solution

The third proportional to 5,787.42 and 12,453.05 is: 26,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.42 : 12,453.05 = 12,453.05 : x
  2. Step 2: Convert to fraction form
    5,787.42/12,453.05 = 12,453.05/x
  3. Step 3: Cross multiply
    5,787.42x = 12,453.05 × 12,453.05
  4. Step 4: Simplify right side
    5,787.42x = 155,078,376.47
  5. Step 5: Solve for x
    x = 155,078,376.47/5,787.42
  6. Step 6: Final answer
    x = 26,795.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.