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Finding the Third Proportional to 27,007 and 56,165

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Solution

The third proportional to 27,007 and 56,165 is: 116,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007 : 56,165 = 56,165 : x
  2. Step 2: Convert to fraction form
    27,007/56,165 = 56,165/x
  3. Step 3: Cross multiply
    27,007x = 56,165 × 56,165
  4. Step 4: Simplify right side
    27,007x = 3,154,507,225
  5. Step 5: Solve for x
    x = 3,154,507,225/27,007
  6. Step 6: Final answer
    x = 116,803.32

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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.