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Finding the Third Proportional to 7,786.13 and 12,023.44

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Solution

The third proportional to 7,786.13 and 12,023.44 is: 18,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 12,023.44 = 12,023.44 : x
  2. Step 2: Convert to fraction form
    7,786.13/12,023.44 = 12,023.44/x
  3. Step 3: Cross multiply
    7,786.13x = 12,023.44 × 12,023.44
  4. Step 4: Simplify right side
    7,786.13x = 144,563,049.32
  5. Step 5: Solve for x
    x = 144,563,049.32/7,786.13
  6. Step 6: Final answer
    x = 18,566.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.