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Finding the Third Proportional to 2,544.75 and 6,159.38

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Solution

The third proportional to 2,544.75 and 6,159.38 is: 14,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.75 : 6,159.38 = 6,159.38 : x
  2. Step 2: Convert to fraction form
    2,544.75/6,159.38 = 6,159.38/x
  3. Step 3: Cross multiply
    2,544.75x = 6,159.38 × 6,159.38
  4. Step 4: Simplify right side
    2,544.75x = 37,937,900.39
  5. Step 5: Solve for x
    x = 37,937,900.39/2,544.75
  6. Step 6: Final answer
    x = 14,908.30

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.