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Finding the Third Proportional to 6,485 and 14,061

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Solution

The third proportional to 6,485 and 14,061 is: 30,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485 : 14,061 = 14,061 : x
  2. Step 2: Convert to fraction form
    6,485/14,061 = 14,061/x
  3. Step 3: Cross multiply
    6,485x = 14,061 × 14,061
  4. Step 4: Simplify right side
    6,485x = 197,711,721
  5. Step 5: Solve for x
    x = 197,711,721/6,485
  6. Step 6: Final answer
    x = 30,487.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.