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Finding the Third Proportional to 11,319.75 and 23,274.56

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Solution

The third proportional to 11,319.75 and 23,274.56 is: 47,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319.75 : 23,274.56 = 23,274.56 : x
  2. Step 2: Convert to fraction form
    11,319.75/23,274.56 = 23,274.56/x
  3. Step 3: Cross multiply
    11,319.75x = 23,274.56 × 23,274.56
  4. Step 4: Simplify right side
    11,319.75x = 541,705,259.57
  5. Step 5: Solve for x
    x = 541,705,259.57/11,319.75
  6. Step 6: Final answer
    x = 47,854.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.