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Finding the Third Proportional to 2,584 and 5,324

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Solution

The third proportional to 2,584 and 5,324 is: 10,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 5,324 = 5,324 : x
  2. Step 2: Convert to fraction form
    2,584/5,324 = 5,324/x
  3. Step 3: Cross multiply
    2,584x = 5,324 × 5,324
  4. Step 4: Simplify right side
    2,584x = 28,344,976
  5. Step 5: Solve for x
    x = 28,344,976/2,584
  6. Step 6: Final answer
    x = 10,969.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.