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Finding the Third Proportional to 3,694.50 and 6,097.50

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Solution

The third proportional to 3,694.50 and 6,097.50 is: 10,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.50 : 6,097.50 = 6,097.50 : x
  2. Step 2: Convert to fraction form
    3,694.50/6,097.50 = 6,097.50/x
  3. Step 3: Cross multiply
    3,694.50x = 6,097.50 × 6,097.50
  4. Step 4: Simplify right side
    3,694.50x = 37,179,506.25
  5. Step 5: Solve for x
    x = 37,179,506.25/3,694.50
  6. Step 6: Final answer
    x = 10,063.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.