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Finding the Third Proportional to 11,578.50 and 25,749

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Solution

The third proportional to 11,578.50 and 25,749 is: 57,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.50 : 25,749 = 25,749 : x
  2. Step 2: Convert to fraction form
    11,578.50/25,749 = 25,749/x
  3. Step 3: Cross multiply
    11,578.50x = 25,749 × 25,749
  4. Step 4: Simplify right side
    11,578.50x = 663,011,001
  5. Step 5: Solve for x
    x = 663,011,001/11,578.50
  6. Step 6: Final answer
    x = 57,262.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.