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Finding the Third Proportional to 27,365 and 55,909

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Solution

The third proportional to 27,365 and 55,909 is: 114,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,365 : 55,909 = 55,909 : x
  2. Step 2: Convert to fraction form
    27,365/55,909 = 55,909/x
  3. Step 3: Cross multiply
    27,365x = 55,909 × 55,909
  4. Step 4: Simplify right side
    27,365x = 3,125,816,281
  5. Step 5: Solve for x
    x = 3,125,816,281/27,365
  6. Step 6: Final answer
    x = 114,226.80

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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.