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Finding the Third Proportional to 36,077 and 56,683

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Solution

The third proportional to 36,077 and 56,683 is: 89,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077 : 56,683 = 56,683 : x
  2. Step 2: Convert to fraction form
    36,077/56,683 = 56,683/x
  3. Step 3: Cross multiply
    36,077x = 56,683 × 56,683
  4. Step 4: Simplify right side
    36,077x = 3,212,962,489
  5. Step 5: Solve for x
    x = 3,212,962,489/36,077
  6. Step 6: Final answer
    x = 89,058.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.