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Finding the Third Proportional to 7,786.13 and 11,192.63

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Solution

The third proportional to 7,786.13 and 11,192.63 is: 16,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 11,192.63 = 11,192.63 : x
  2. Step 2: Convert to fraction form
    7,786.13/11,192.63 = 11,192.63/x
  3. Step 3: Cross multiply
    7,786.13x = 11,192.63 × 11,192.63
  4. Step 4: Simplify right side
    7,786.13x = 125,274,854.39
  5. Step 5: Solve for x
    x = 125,274,854.39/7,786.13
  6. Step 6: Final answer
    x = 16,089.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.