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Finding the Third Proportional to 27,000 and 56,151

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Solution

The third proportional to 27,000 and 56,151 is: 116,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 56,151 = 56,151 : x
  2. Step 2: Convert to fraction form
    27,000/56,151 = 56,151/x
  3. Step 3: Cross multiply
    27,000x = 56,151 × 56,151
  4. Step 4: Simplify right side
    27,000x = 3,152,934,801
  5. Step 5: Solve for x
    x = 3,152,934,801/27,000
  6. Step 6: Final answer
    x = 116,775.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.