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Finding the Third Proportional to 1,569 and 3,834.50

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Solution

The third proportional to 1,569 and 3,834.50 is: 9,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 3,834.50 = 3,834.50 : x
  2. Step 2: Convert to fraction form
    1,569/3,834.50 = 3,834.50/x
  3. Step 3: Cross multiply
    1,569x = 3,834.50 × 3,834.50
  4. Step 4: Simplify right side
    1,569x = 14,703,390.25
  5. Step 5: Solve for x
    x = 14,703,390.25/1,569
  6. Step 6: Final answer
    x = 9,371.19

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.