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Finding the Third Proportional to 48,558 and 66,453

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Solution

The third proportional to 48,558 and 66,453 is: 90,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,558 : 66,453 = 66,453 : x
  2. Step 2: Convert to fraction form
    48,558/66,453 = 66,453/x
  3. Step 3: Cross multiply
    48,558x = 66,453 × 66,453
  4. Step 4: Simplify right side
    48,558x = 4,416,001,209
  5. Step 5: Solve for x
    x = 4,416,001,209/48,558
  6. Step 6: Final answer
    x = 90,942.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.