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Finding the Third Proportional to 57,319.88 and 76,446.94

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Solution

The third proportional to 57,319.88 and 76,446.94 is: 101,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,319.88 : 76,446.94 = 76,446.94 : x
  2. Step 2: Convert to fraction form
    57,319.88/76,446.94 = 76,446.94/x
  3. Step 3: Cross multiply
    57,319.88x = 76,446.94 × 76,446.94
  4. Step 4: Simplify right side
    57,319.88x = 5,844,134,253.13
  5. Step 5: Solve for x
    x = 5,844,134,253.13/57,319.88
  6. Step 6: Final answer
    x = 101,956.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.