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Finding the Third Proportional to 12,638 and 28,084

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Solution

The third proportional to 12,638 and 28,084 is: 62,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638 : 28,084 = 28,084 : x
  2. Step 2: Convert to fraction form
    12,638/28,084 = 28,084/x
  3. Step 3: Cross multiply
    12,638x = 28,084 × 28,084
  4. Step 4: Simplify right side
    12,638x = 788,711,056
  5. Step 5: Solve for x
    x = 788,711,056/12,638
  6. Step 6: Final answer
    x = 62,407.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.