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Finding the Third Proportional to 3,046.78 and 6,478.03

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Solution

The third proportional to 3,046.78 and 6,478.03 is: 13,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.78 : 6,478.03 = 6,478.03 : x
  2. Step 2: Convert to fraction form
    3,046.78/6,478.03 = 6,478.03/x
  3. Step 3: Cross multiply
    3,046.78x = 6,478.03 × 6,478.03
  4. Step 4: Simplify right side
    3,046.78x = 41,964,888.88
  5. Step 5: Solve for x
    x = 41,964,888.88/3,046.78
  6. Step 6: Final answer
    x = 13,773.52

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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.