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Finding the Third Proportional to 36,784 and 55,176

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Solution

The third proportional to 36,784 and 55,176 is: 82,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784 : 55,176 = 55,176 : x
  2. Step 2: Convert to fraction form
    36,784/55,176 = 55,176/x
  3. Step 3: Cross multiply
    36,784x = 55,176 × 55,176
  4. Step 4: Simplify right side
    36,784x = 3,044,390,976
  5. Step 5: Solve for x
    x = 3,044,390,976/36,784
  6. Step 6: Final answer
    x = 82,764

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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.