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Finding the Third Proportional to 3,039.75 and 6,467.06

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Solution

The third proportional to 3,039.75 and 6,467.06 is: 13,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.75 : 6,467.06 = 6,467.06 : x
  2. Step 2: Convert to fraction form
    3,039.75/6,467.06 = 6,467.06/x
  3. Step 3: Cross multiply
    3,039.75x = 6,467.06 × 6,467.06
  4. Step 4: Simplify right side
    3,039.75x = 41,822,897.38
  5. Step 5: Solve for x
    x = 41,822,897.38/3,039.75
  6. Step 6: Final answer
    x = 13,758.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.