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Finding the Third Proportional to 6,737 and 7,205

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Solution

The third proportional to 6,737 and 7,205 is: 7,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737 : 7,205 = 7,205 : x
  2. Step 2: Convert to fraction form
    6,737/7,205 = 7,205/x
  3. Step 3: Cross multiply
    6,737x = 7,205 × 7,205
  4. Step 4: Simplify right side
    6,737x = 51,912,025
  5. Step 5: Solve for x
    x = 51,912,025/6,737
  6. Step 6: Final answer
    x = 7,705.51

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.