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Finding the Third Proportional to 6,310 and 6,814

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Solution

The third proportional to 6,310 and 6,814 is: 7,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310 : 6,814 = 6,814 : x
  2. Step 2: Convert to fraction form
    6,310/6,814 = 6,814/x
  3. Step 3: Cross multiply
    6,310x = 6,814 × 6,814
  4. Step 4: Simplify right side
    6,310x = 46,430,596
  5. Step 5: Solve for x
    x = 46,430,596/6,310
  6. Step 6: Final answer
    x = 7,358.26

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.