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Finding the Third Proportional to 27,006 and 56,163

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Solution

The third proportional to 27,006 and 56,163 is: 116,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006 : 56,163 = 56,163 : x
  2. Step 2: Convert to fraction form
    27,006/56,163 = 56,163/x
  3. Step 3: Cross multiply
    27,006x = 56,163 × 56,163
  4. Step 4: Simplify right side
    27,006x = 3,154,282,569
  5. Step 5: Solve for x
    x = 3,154,282,569/27,006
  6. Step 6: Final answer
    x = 116,799.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.