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Finding the Third Proportional to 1,584 and 3,269

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Solution

The third proportional to 1,584 and 3,269 is: 6,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 3,269 = 3,269 : x
  2. Step 2: Convert to fraction form
    1,584/3,269 = 3,269/x
  3. Step 3: Cross multiply
    1,584x = 3,269 × 3,269
  4. Step 4: Simplify right side
    1,584x = 10,686,361
  5. Step 5: Solve for x
    x = 10,686,361/1,584
  6. Step 6: Final answer
    x = 6,746.44

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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.