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Finding the Third Proportional to 57,625 and 77,682.75

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Solution

The third proportional to 57,625 and 77,682.75 is: 104,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,625 : 77,682.75 = 77,682.75 : x
  2. Step 2: Convert to fraction form
    57,625/77,682.75 = 77,682.75/x
  3. Step 3: Cross multiply
    57,625x = 77,682.75 × 77,682.75
  4. Step 4: Simplify right side
    57,625x = 6,034,609,647.56
  5. Step 5: Solve for x
    x = 6,034,609,647.56/57,625
  6. Step 6: Final answer
    x = 104,722.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.