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Finding the Third Proportional to 5,714 and 6,898

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Solution

The third proportional to 5,714 and 6,898 is: 8,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714 : 6,898 = 6,898 : x
  2. Step 2: Convert to fraction form
    5,714/6,898 = 6,898/x
  3. Step 3: Cross multiply
    5,714x = 6,898 × 6,898
  4. Step 4: Simplify right side
    5,714x = 47,582,404
  5. Step 5: Solve for x
    x = 47,582,404/5,714
  6. Step 6: Final answer
    x = 8,327.34

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.