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Finding the Third Proportional to 20,784 and 31,176

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Solution

The third proportional to 20,784 and 31,176 is: 46,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 31,176 = 31,176 : x
  2. Step 2: Convert to fraction form
    20,784/31,176 = 31,176/x
  3. Step 3: Cross multiply
    20,784x = 31,176 × 31,176
  4. Step 4: Simplify right side
    20,784x = 971,942,976
  5. Step 5: Solve for x
    x = 971,942,976/20,784
  6. Step 6: Final answer
    x = 46,764

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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.