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Finding the Third Proportional to 20,466 and 44,756

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Solution

The third proportional to 20,466 and 44,756 is: 97,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466 : 44,756 = 44,756 : x
  2. Step 2: Convert to fraction form
    20,466/44,756 = 44,756/x
  3. Step 3: Cross multiply
    20,466x = 44,756 × 44,756
  4. Step 4: Simplify right side
    20,466x = 2,003,099,536
  5. Step 5: Solve for x
    x = 2,003,099,536/20,466
  6. Step 6: Final answer
    x = 97,874.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.