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Finding the Third Proportional to 7,084 and 12,638

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Solution

The third proportional to 7,084 and 12,638 is: 22,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084 : 12,638 = 12,638 : x
  2. Step 2: Convert to fraction form
    7,084/12,638 = 12,638/x
  3. Step 3: Cross multiply
    7,084x = 12,638 × 12,638
  4. Step 4: Simplify right side
    7,084x = 159,719,044
  5. Step 5: Solve for x
    x = 159,719,044/7,084
  6. Step 6: Final answer
    x = 22,546.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.