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Finding the Third Proportional to 5,874.50 and 8,591.25

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Solution

The third proportional to 5,874.50 and 8,591.25 is: 12,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.50 : 8,591.25 = 8,591.25 : x
  2. Step 2: Convert to fraction form
    5,874.50/8,591.25 = 8,591.25/x
  3. Step 3: Cross multiply
    5,874.50x = 8,591.25 × 8,591.25
  4. Step 4: Simplify right side
    5,874.50x = 73,809,576.56
  5. Step 5: Solve for x
    x = 73,809,576.56/5,874.50
  6. Step 6: Final answer
    x = 12,564.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.