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Finding the Third Proportional to 1,584 and 3,383

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Solution

The third proportional to 1,584 and 3,383 is: 7,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 3,383 = 3,383 : x
  2. Step 2: Convert to fraction form
    1,584/3,383 = 3,383/x
  3. Step 3: Cross multiply
    1,584x = 3,383 × 3,383
  4. Step 4: Simplify right side
    1,584x = 11,444,689
  5. Step 5: Solve for x
    x = 11,444,689/1,584
  6. Step 6: Final answer
    x = 7,225.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.