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Finding the Third Proportional to 36,737.51 and 54,963.77

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Solution

The third proportional to 36,737.51 and 54,963.77 is: 82,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,737.51 : 54,963.77 = 54,963.77 : x
  2. Step 2: Convert to fraction form
    36,737.51/54,963.77 = 54,963.77/x
  3. Step 3: Cross multiply
    36,737.51x = 54,963.77 × 54,963.77
  4. Step 4: Simplify right side
    36,737.51x = 3,021,016,390.49
  5. Step 5: Solve for x
    x = 3,021,016,390.49/36,737.51
  6. Step 6: Final answer
    x = 82,232.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.