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Finding the Third Proportional to 2,569 and 4,136.50

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Solution

The third proportional to 2,569 and 4,136.50 is: 6,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 4,136.50 = 4,136.50 : x
  2. Step 2: Convert to fraction form
    2,569/4,136.50 = 4,136.50/x
  3. Step 3: Cross multiply
    2,569x = 4,136.50 × 4,136.50
  4. Step 4: Simplify right side
    2,569x = 17,110,632.25
  5. Step 5: Solve for x
    x = 17,110,632.25/2,569
  6. Step 6: Final answer
    x = 6,660.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.