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Finding the Third Proportional to 5,170 and 5,714

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Solution

The third proportional to 5,170 and 5,714 is: 6,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170 : 5,714 = 5,714 : x
  2. Step 2: Convert to fraction form
    5,170/5,714 = 5,714/x
  3. Step 3: Cross multiply
    5,170x = 5,714 × 5,714
  4. Step 4: Simplify right side
    5,170x = 32,649,796
  5. Step 5: Solve for x
    x = 32,649,796/5,170
  6. Step 6: Final answer
    x = 6,315.24

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.