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Finding the Third Proportional to 27,150 and 39,751

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Solution

The third proportional to 27,150 and 39,751 is: 58,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150 : 39,751 = 39,751 : x
  2. Step 2: Convert to fraction form
    27,150/39,751 = 39,751/x
  3. Step 3: Cross multiply
    27,150x = 39,751 × 39,751
  4. Step 4: Simplify right side
    27,150x = 1,580,142,001
  5. Step 5: Solve for x
    x = 1,580,142,001/27,150
  6. Step 6: Final answer
    x = 58,200.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.