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Finding the Third Proportional to 23,737 and 36,901

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Solution

The third proportional to 23,737 and 36,901 is: 57,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737 : 36,901 = 36,901 : x
  2. Step 2: Convert to fraction form
    23,737/36,901 = 36,901/x
  3. Step 3: Cross multiply
    23,737x = 36,901 × 36,901
  4. Step 4: Simplify right side
    23,737x = 1,361,683,801
  5. Step 5: Solve for x
    x = 1,361,683,801/23,737
  6. Step 6: Final answer
    x = 57,365.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.