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Finding the Third Proportional to 5,150 and 7,714

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Solution

The third proportional to 5,150 and 7,714 is: 11,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150 : 7,714 = 7,714 : x
  2. Step 2: Convert to fraction form
    5,150/7,714 = 7,714/x
  3. Step 3: Cross multiply
    5,150x = 7,714 × 7,714
  4. Step 4: Simplify right side
    5,150x = 59,505,796
  5. Step 5: Solve for x
    x = 59,505,796/5,150
  6. Step 6: Final answer
    x = 11,554.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.