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Finding the Third Proportional to 27,474 and 56,254

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Solution

The third proportional to 27,474 and 56,254 is: 115,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474 : 56,254 = 56,254 : x
  2. Step 2: Convert to fraction form
    27,474/56,254 = 56,254/x
  3. Step 3: Cross multiply
    27,474x = 56,254 × 56,254
  4. Step 4: Simplify right side
    27,474x = 3,164,512,516
  5. Step 5: Solve for x
    x = 3,164,512,516/27,474
  6. Step 6: Final answer
    x = 115,182.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.