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Finding the Third Proportional to 57,668 and 73,683

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Solution

The third proportional to 57,668 and 73,683 is: 94,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,668 : 73,683 = 73,683 : x
  2. Step 2: Convert to fraction form
    57,668/73,683 = 73,683/x
  3. Step 3: Cross multiply
    57,668x = 73,683 × 73,683
  4. Step 4: Simplify right side
    57,668x = 5,429,184,489
  5. Step 5: Solve for x
    x = 5,429,184,489/57,668
  6. Step 6: Final answer
    x = 94,145.53

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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.