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Finding the Third Proportional to 25,313 and 55,393

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Solution

The third proportional to 25,313 and 55,393 is: 121,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,313 : 55,393 = 55,393 : x
  2. Step 2: Convert to fraction form
    25,313/55,393 = 55,393/x
  3. Step 3: Cross multiply
    25,313x = 55,393 × 55,393
  4. Step 4: Simplify right side
    25,313x = 3,068,384,449
  5. Step 5: Solve for x
    x = 3,068,384,449/25,313
  6. Step 6: Final answer
    x = 121,217.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.