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Finding the Third Proportional to 11,563.88 and 23,947.88

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Solution

The third proportional to 11,563.88 and 23,947.88 is: 49,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.88 : 23,947.88 = 23,947.88 : x
  2. Step 2: Convert to fraction form
    11,563.88/23,947.88 = 23,947.88/x
  3. Step 3: Cross multiply
    11,563.88x = 23,947.88 × 23,947.88
  4. Step 4: Simplify right side
    11,563.88x = 573,500,717.02
  5. Step 5: Solve for x
    x = 573,500,717.02/11,563.88
  6. Step 6: Final answer
    x = 49,594.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.