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Finding the Third Proportional to 6,354 and 6,850

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Solution

The third proportional to 6,354 and 6,850 is: 7,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354 : 6,850 = 6,850 : x
  2. Step 2: Convert to fraction form
    6,354/6,850 = 6,850/x
  3. Step 3: Cross multiply
    6,354x = 6,850 × 6,850
  4. Step 4: Simplify right side
    6,354x = 46,922,500
  5. Step 5: Solve for x
    x = 46,922,500/6,354
  6. Step 6: Final answer
    x = 7,384.72

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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.