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Finding the Third Proportional to 39,177 and 59,683

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Solution

The third proportional to 39,177 and 59,683 is: 90,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,177 : 59,683 = 59,683 : x
  2. Step 2: Convert to fraction form
    39,177/59,683 = 59,683/x
  3. Step 3: Cross multiply
    39,177x = 59,683 × 59,683
  4. Step 4: Simplify right side
    39,177x = 3,562,060,489
  5. Step 5: Solve for x
    x = 3,562,060,489/39,177
  6. Step 6: Final answer
    x = 90,922.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.