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Finding the Third Proportional to 7,705.76 and 13,745.64

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Solution

The third proportional to 7,705.76 and 13,745.64 is: 24,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.76 : 13,745.64 = 13,745.64 : x
  2. Step 2: Convert to fraction form
    7,705.76/13,745.64 = 13,745.64/x
  3. Step 3: Cross multiply
    7,705.76x = 13,745.64 × 13,745.64
  4. Step 4: Simplify right side
    7,705.76x = 188,942,528.80
  5. Step 5: Solve for x
    x = 188,942,528.80/7,705.76
  6. Step 6: Final answer
    x = 24,519.66

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.