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Finding the Third Proportional to 6,454 and 12,638

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Solution

The third proportional to 6,454 and 12,638 is: 24,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454 : 12,638 = 12,638 : x
  2. Step 2: Convert to fraction form
    6,454/12,638 = 12,638/x
  3. Step 3: Cross multiply
    6,454x = 12,638 × 12,638
  4. Step 4: Simplify right side
    6,454x = 159,719,044
  5. Step 5: Solve for x
    x = 159,719,044/6,454
  6. Step 6: Final answer
    x = 24,747.30

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.