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Finding the Third Proportional to 6,137 and 6,713

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Solution

The third proportional to 6,137 and 6,713 is: 7,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137 : 6,713 = 6,713 : x
  2. Step 2: Convert to fraction form
    6,137/6,713 = 6,713/x
  3. Step 3: Cross multiply
    6,137x = 6,713 × 6,713
  4. Step 4: Simplify right side
    6,137x = 45,064,369
  5. Step 5: Solve for x
    x = 45,064,369/6,137
  6. Step 6: Final answer
    x = 7,343.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.