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Finding the Third Proportional to 2,898 and 7,569

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Solution

The third proportional to 2,898 and 7,569 is: 19,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898 : 7,569 = 7,569 : x
  2. Step 2: Convert to fraction form
    2,898/7,569 = 7,569/x
  3. Step 3: Cross multiply
    2,898x = 7,569 × 7,569
  4. Step 4: Simplify right side
    2,898x = 57,289,761
  5. Step 5: Solve for x
    x = 57,289,761/2,898
  6. Step 6: Final answer
    x = 19,768.72

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.