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Finding the Third Proportional to 4,569 and 7,169

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Solution

The third proportional to 4,569 and 7,169 is: 11,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 7,169 = 7,169 : x
  2. Step 2: Convert to fraction form
    4,569/7,169 = 7,169/x
  3. Step 3: Cross multiply
    4,569x = 7,169 × 7,169
  4. Step 4: Simplify right side
    4,569x = 51,394,561
  5. Step 5: Solve for x
    x = 51,394,561/4,569
  6. Step 6: Final answer
    x = 11,248.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.