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Finding the Third Proportional to 6,569 and 14,272

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Solution

The third proportional to 6,569 and 14,272 is: 31,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569 : 14,272 = 14,272 : x
  2. Step 2: Convert to fraction form
    6,569/14,272 = 14,272/x
  3. Step 3: Cross multiply
    6,569x = 14,272 × 14,272
  4. Step 4: Simplify right side
    6,569x = 203,689,984
  5. Step 5: Solve for x
    x = 203,689,984/6,569
  6. Step 6: Final answer
    x = 31,007.76

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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.