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Finding the Third Proportional to 11,031.75 and 24,250.50

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Solution

The third proportional to 11,031.75 and 24,250.50 is: 53,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.75 : 24,250.50 = 24,250.50 : x
  2. Step 2: Convert to fraction form
    11,031.75/24,250.50 = 24,250.50/x
  3. Step 3: Cross multiply
    11,031.75x = 24,250.50 × 24,250.50
  4. Step 4: Simplify right side
    11,031.75x = 588,086,750.25
  5. Step 5: Solve for x
    x = 588,086,750.25/11,031.75
  6. Step 6: Final answer
    x = 53,308.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.