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Finding the Third Proportional to 2,584 and 4,082

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Solution

The third proportional to 2,584 and 4,082 is: 6,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 4,082 = 4,082 : x
  2. Step 2: Convert to fraction form
    2,584/4,082 = 4,082/x
  3. Step 3: Cross multiply
    2,584x = 4,082 × 4,082
  4. Step 4: Simplify right side
    2,584x = 16,662,724
  5. Step 5: Solve for x
    x = 16,662,724/2,584
  6. Step 6: Final answer
    x = 6,448.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.