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Finding the Third Proportional to 27,784 and 56,600

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Solution

The third proportional to 27,784 and 56,600 is: 115,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784 : 56,600 = 56,600 : x
  2. Step 2: Convert to fraction form
    27,784/56,600 = 56,600/x
  3. Step 3: Cross multiply
    27,784x = 56,600 × 56,600
  4. Step 4: Simplify right side
    27,784x = 3,203,560,000
  5. Step 5: Solve for x
    x = 3,203,560,000/27,784
  6. Step 6: Final answer
    x = 115,302.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.