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Finding the Third Proportional to 20,589 and 44,466

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Solution

The third proportional to 20,589 and 44,466 is: 96,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 44,466 = 44,466 : x
  2. Step 2: Convert to fraction form
    20,589/44,466 = 44,466/x
  3. Step 3: Cross multiply
    20,589x = 44,466 × 44,466
  4. Step 4: Simplify right side
    20,589x = 1,977,225,156
  5. Step 5: Solve for x
    x = 1,977,225,156/20,589
  6. Step 6: Final answer
    x = 96,033.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.