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Finding the Third Proportional to 6,834 and 9,715

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Solution

The third proportional to 6,834 and 9,715 is: 13,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 9,715 = 9,715 : x
  2. Step 2: Convert to fraction form
    6,834/9,715 = 9,715/x
  3. Step 3: Cross multiply
    6,834x = 9,715 × 9,715
  4. Step 4: Simplify right side
    6,834x = 94,381,225
  5. Step 5: Solve for x
    x = 94,381,225/6,834
  6. Step 6: Final answer
    x = 13,810.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.