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Finding the Third Proportional to 3,298 and 5,044

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Solution

The third proportional to 3,298 and 5,044 is: 7,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298 : 5,044 = 5,044 : x
  2. Step 2: Convert to fraction form
    3,298/5,044 = 5,044/x
  3. Step 3: Cross multiply
    3,298x = 5,044 × 5,044
  4. Step 4: Simplify right side
    3,298x = 25,441,936
  5. Step 5: Solve for x
    x = 25,441,936/3,298
  6. Step 6: Final answer
    x = 7,714.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.