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Finding the Third Proportional to 57,660 and 73,677

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Solution

The third proportional to 57,660 and 73,677 is: 94,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 73,677 = 73,677 : x
  2. Step 2: Convert to fraction form
    57,660/73,677 = 73,677/x
  3. Step 3: Cross multiply
    57,660x = 73,677 × 73,677
  4. Step 4: Simplify right side
    57,660x = 5,428,300,329
  5. Step 5: Solve for x
    x = 5,428,300,329/57,660
  6. Step 6: Final answer
    x = 94,143.26

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.