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Finding the Third Proportional to 11,631 and 25,174.50

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Solution

The third proportional to 11,631 and 25,174.50 is: 54,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631 : 25,174.50 = 25,174.50 : x
  2. Step 2: Convert to fraction form
    11,631/25,174.50 = 25,174.50/x
  3. Step 3: Cross multiply
    11,631x = 25,174.50 × 25,174.50
  4. Step 4: Simplify right side
    11,631x = 633,755,450.25
  5. Step 5: Solve for x
    x = 633,755,450.25/11,631
  6. Step 6: Final answer
    x = 54,488.47

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1.5x scale

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.