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Finding the Third Proportional to 8,818.88 and 13,832.02

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Solution

The third proportional to 8,818.88 and 13,832.02 is: 21,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,818.88 : 13,832.02 = 13,832.02 : x
  2. Step 2: Convert to fraction form
    8,818.88/13,832.02 = 13,832.02/x
  3. Step 3: Cross multiply
    8,818.88x = 13,832.02 × 13,832.02
  4. Step 4: Simplify right side
    8,818.88x = 191,324,656.25
  5. Step 5: Solve for x
    x = 191,324,656.25/8,818.88
  6. Step 6: Final answer
    x = 21,694.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.