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Finding the Third Proportional to 44,466 and 66,861

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Solution

The third proportional to 44,466 and 66,861 is: 100,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,466 : 66,861 = 66,861 : x
  2. Step 2: Convert to fraction form
    44,466/66,861 = 66,861/x
  3. Step 3: Cross multiply
    44,466x = 66,861 × 66,861
  4. Step 4: Simplify right side
    44,466x = 4,470,393,321
  5. Step 5: Solve for x
    x = 4,470,393,321/44,466
  6. Step 6: Final answer
    x = 100,535.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.