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Finding the Third Proportional to 57,375.50 and 94,817

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Solution

The third proportional to 57,375.50 and 94,817 is: 156,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,375.50 : 94,817 = 94,817 : x
  2. Step 2: Convert to fraction form
    57,375.50/94,817 = 94,817/x
  3. Step 3: Cross multiply
    57,375.50x = 94,817 × 94,817
  4. Step 4: Simplify right side
    57,375.50x = 8,990,263,489
  5. Step 5: Solve for x
    x = 8,990,263,489/57,375.50
  6. Step 6: Final answer
    x = 156,691.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.