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Finding the Third Proportional to 6,907 and 10,715

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Solution

The third proportional to 6,907 and 10,715 is: 16,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907 : 10,715 = 10,715 : x
  2. Step 2: Convert to fraction form
    6,907/10,715 = 10,715/x
  3. Step 3: Cross multiply
    6,907x = 10,715 × 10,715
  4. Step 4: Simplify right side
    6,907x = 114,811,225
  5. Step 5: Solve for x
    x = 114,811,225/6,907
  6. Step 6: Final answer
    x = 16,622.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.