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Finding the Third Proportional to 27,472 and 56,250

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Solution

The third proportional to 27,472 and 56,250 is: 115,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472 : 56,250 = 56,250 : x
  2. Step 2: Convert to fraction form
    27,472/56,250 = 56,250/x
  3. Step 3: Cross multiply
    27,472x = 56,250 × 56,250
  4. Step 4: Simplify right side
    27,472x = 3,164,062,500
  5. Step 5: Solve for x
    x = 3,164,062,500/27,472
  6. Step 6: Final answer
    x = 115,174.09

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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.