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Finding the Third Proportional to 27,271 and 58,838

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Solution

The third proportional to 27,271 and 58,838 is: 126,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271 : 58,838 = 58,838 : x
  2. Step 2: Convert to fraction form
    27,271/58,838 = 58,838/x
  3. Step 3: Cross multiply
    27,271x = 58,838 × 58,838
  4. Step 4: Simplify right side
    27,271x = 3,461,910,244
  5. Step 5: Solve for x
    x = 3,461,910,244/27,271
  6. Step 6: Final answer
    x = 126,944.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.