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Finding the Third Proportional to 27,612 and 59,631

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Solution

The third proportional to 27,612 and 59,631 is: 128,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612 : 59,631 = 59,631 : x
  2. Step 2: Convert to fraction form
    27,612/59,631 = 59,631/x
  3. Step 3: Cross multiply
    27,612x = 59,631 × 59,631
  4. Step 4: Simplify right side
    27,612x = 3,555,856,161
  5. Step 5: Solve for x
    x = 3,555,856,161/27,612
  6. Step 6: Final answer
    x = 128,779.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.