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Finding the Third Proportional to 28,641 and 62,885

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Solution

The third proportional to 28,641 and 62,885 is: 138,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,641 : 62,885 = 62,885 : x
  2. Step 2: Convert to fraction form
    28,641/62,885 = 62,885/x
  3. Step 3: Cross multiply
    28,641x = 62,885 × 62,885
  4. Step 4: Simplify right side
    28,641x = 3,954,523,225
  5. Step 5: Solve for x
    x = 3,954,523,225/28,641
  6. Step 6: Final answer
    x = 138,072.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.