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Finding the Third Proportional to 6,914 and 8,129

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Solution

The third proportional to 6,914 and 8,129 is: 9,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 8,129 = 8,129 : x
  2. Step 2: Convert to fraction form
    6,914/8,129 = 8,129/x
  3. Step 3: Cross multiply
    6,914x = 8,129 × 8,129
  4. Step 4: Simplify right side
    6,914x = 66,080,641
  5. Step 5: Solve for x
    x = 66,080,641/6,914
  6. Step 6: Final answer
    x = 9,557.51

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.