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Finding the Third Proportional to 27,971 and 55,921

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Solution

The third proportional to 27,971 and 55,921 is: 111,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971 : 55,921 = 55,921 : x
  2. Step 2: Convert to fraction form
    27,971/55,921 = 55,921/x
  3. Step 3: Cross multiply
    27,971x = 55,921 × 55,921
  4. Step 4: Simplify right side
    27,971x = 3,127,158,241
  5. Step 5: Solve for x
    x = 3,127,158,241/27,971
  6. Step 6: Final answer
    x = 111,800.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.