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Finding the Third Proportional to 5,456.25 and 11,857.50

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Solution

The third proportional to 5,456.25 and 11,857.50 is: 25,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.25 : 11,857.50 = 11,857.50 : x
  2. Step 2: Convert to fraction form
    5,456.25/11,857.50 = 11,857.50/x
  3. Step 3: Cross multiply
    5,456.25x = 11,857.50 × 11,857.50
  4. Step 4: Simplify right side
    5,456.25x = 140,600,306.25
  5. Step 5: Solve for x
    x = 140,600,306.25/5,456.25
  6. Step 6: Final answer
    x = 25,768.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.