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Finding the Third Proportional to 4,894.50 and 11,325

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Solution

The third proportional to 4,894.50 and 11,325 is: 26,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.50 : 11,325 = 11,325 : x
  2. Step 2: Convert to fraction form
    4,894.50/11,325 = 11,325/x
  3. Step 3: Cross multiply
    4,894.50x = 11,325 × 11,325
  4. Step 4: Simplify right side
    4,894.50x = 128,255,625
  5. Step 5: Solve for x
    x = 128,255,625/4,894.50
  6. Step 6: Final answer
    x = 26,204.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.