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Finding the Third Proportional to 27,650 and 56,596

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Solution

The third proportional to 27,650 and 56,596 is: 115,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650 : 56,596 = 56,596 : x
  2. Step 2: Convert to fraction form
    27,650/56,596 = 56,596/x
  3. Step 3: Cross multiply
    27,650x = 56,596 × 56,596
  4. Step 4: Simplify right side
    27,650x = 3,203,107,216
  5. Step 5: Solve for x
    x = 3,203,107,216/27,650
  6. Step 6: Final answer
    x = 115,844.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.