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Finding the Third Proportional to 5,209.50 and 11,250

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Solution

The third proportional to 5,209.50 and 11,250 is: 24,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.50 : 11,250 = 11,250 : x
  2. Step 2: Convert to fraction form
    5,209.50/11,250 = 11,250/x
  3. Step 3: Cross multiply
    5,209.50x = 11,250 × 11,250
  4. Step 4: Simplify right side
    5,209.50x = 126,562,500
  5. Step 5: Solve for x
    x = 126,562,500/5,209.50
  6. Step 6: Final answer
    x = 24,294.56

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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.