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Finding the Third Proportional to 3,584 and 5,632

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Solution

The third proportional to 3,584 and 5,632 is: 8,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584 : 5,632 = 5,632 : x
  2. Step 2: Convert to fraction form
    3,584/5,632 = 5,632/x
  3. Step 3: Cross multiply
    3,584x = 5,632 × 5,632
  4. Step 4: Simplify right side
    3,584x = 31,719,424
  5. Step 5: Solve for x
    x = 31,719,424/3,584
  6. Step 6: Final answer
    x = 8,850.29

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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.