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Finding the Third Proportional to 11,527.50 and 23,325

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Solution

The third proportional to 11,527.50 and 23,325 is: 47,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.50 : 23,325 = 23,325 : x
  2. Step 2: Convert to fraction form
    11,527.50/23,325 = 23,325/x
  3. Step 3: Cross multiply
    11,527.50x = 23,325 × 23,325
  4. Step 4: Simplify right side
    11,527.50x = 544,055,625
  5. Step 5: Solve for x
    x = 544,055,625/11,527.50
  6. Step 6: Final answer
    x = 47,196.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.