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Finding the Third Proportional to 6,849 and 14,737

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Solution

The third proportional to 6,849 and 14,737 is: 31,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849 : 14,737 = 14,737 : x
  2. Step 2: Convert to fraction form
    6,849/14,737 = 14,737/x
  3. Step 3: Cross multiply
    6,849x = 14,737 × 14,737
  4. Step 4: Simplify right side
    6,849x = 217,179,169
  5. Step 5: Solve for x
    x = 217,179,169/6,849
  6. Step 6: Final answer
    x = 31,709.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.