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Finding the Third Proportional to 3,044 and 6,406

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Solution

The third proportional to 3,044 and 6,406 is: 13,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044 : 6,406 = 6,406 : x
  2. Step 2: Convert to fraction form
    3,044/6,406 = 6,406/x
  3. Step 3: Cross multiply
    3,044x = 6,406 × 6,406
  4. Step 4: Simplify right side
    3,044x = 41,036,836
  5. Step 5: Solve for x
    x = 41,036,836/3,044
  6. Step 6: Final answer
    x = 13,481.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.