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Finding the Third Proportional to 6,569 and 9,609

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Solution

The third proportional to 6,569 and 9,609 is: 14,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569 : 9,609 = 9,609 : x
  2. Step 2: Convert to fraction form
    6,569/9,609 = 9,609/x
  3. Step 3: Cross multiply
    6,569x = 9,609 × 9,609
  4. Step 4: Simplify right side
    6,569x = 92,332,881
  5. Step 5: Solve for x
    x = 92,332,881/6,569
  6. Step 6: Final answer
    x = 14,055.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.