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Finding the Third Proportional to 5,796 and 6,714

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Solution

The third proportional to 5,796 and 6,714 is: 7,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 6,714 = 6,714 : x
  2. Step 2: Convert to fraction form
    5,796/6,714 = 6,714/x
  3. Step 3: Cross multiply
    5,796x = 6,714 × 6,714
  4. Step 4: Simplify right side
    5,796x = 45,077,796
  5. Step 5: Solve for x
    x = 45,077,796/5,796
  6. Step 6: Final answer
    x = 7,777.40

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.