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Finding the Third Proportional to 5,694.75 and 8,657.25

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Solution

The third proportional to 5,694.75 and 8,657.25 is: 13,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.75 : 8,657.25 = 8,657.25 : x
  2. Step 2: Convert to fraction form
    5,694.75/8,657.25 = 8,657.25/x
  3. Step 3: Cross multiply
    5,694.75x = 8,657.25 × 8,657.25
  4. Step 4: Simplify right side
    5,694.75x = 74,947,977.56
  5. Step 5: Solve for x
    x = 74,947,977.56/5,694.75
  6. Step 6: Final answer
    x = 13,160.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.