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Finding the Third Proportional to 4,396.78 and 6,159.80

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Solution

The third proportional to 4,396.78 and 6,159.80 is: 8,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.78 : 6,159.80 = 6,159.80 : x
  2. Step 2: Convert to fraction form
    4,396.78/6,159.80 = 6,159.80/x
  3. Step 3: Cross multiply
    4,396.78x = 6,159.80 × 6,159.80
  4. Step 4: Simplify right side
    4,396.78x = 37,943,097.54
  5. Step 5: Solve for x
    x = 37,943,097.54/4,396.78
  6. Step 6: Final answer
    x = 8,629.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.