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Finding the Third Proportional to 5,286 and 6,713

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Solution

The third proportional to 5,286 and 6,713 is: 8,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286 : 6,713 = 6,713 : x
  2. Step 2: Convert to fraction form
    5,286/6,713 = 6,713/x
  3. Step 3: Cross multiply
    5,286x = 6,713 × 6,713
  4. Step 4: Simplify right side
    5,286x = 45,064,369
  5. Step 5: Solve for x
    x = 45,064,369/5,286
  6. Step 6: Final answer
    x = 8,525.23

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.