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Finding the Third Proportional to 6,346 and 7,714

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Solution

The third proportional to 6,346 and 7,714 is: 9,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346 : 7,714 = 7,714 : x
  2. Step 2: Convert to fraction form
    6,346/7,714 = 7,714/x
  3. Step 3: Cross multiply
    6,346x = 7,714 × 7,714
  4. Step 4: Simplify right side
    6,346x = 59,505,796
  5. Step 5: Solve for x
    x = 59,505,796/6,346
  6. Step 6: Final answer
    x = 9,376.90

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.