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Finding the Third Proportional to 2,569 and 5,617

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Solution

The third proportional to 2,569 and 5,617 is: 12,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 5,617 = 5,617 : x
  2. Step 2: Convert to fraction form
    2,569/5,617 = 5,617/x
  3. Step 3: Cross multiply
    2,569x = 5,617 × 5,617
  4. Step 4: Simplify right side
    2,569x = 31,550,689
  5. Step 5: Solve for x
    x = 31,550,689/2,569
  6. Step 6: Final answer
    x = 12,281.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.