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Finding the Third Proportional to 3,536.79 and 7,765.56

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Solution

The third proportional to 3,536.79 and 7,765.56 is: 17,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.79 : 7,765.56 = 7,765.56 : x
  2. Step 2: Convert to fraction form
    3,536.79/7,765.56 = 7,765.56/x
  3. Step 3: Cross multiply
    3,536.79x = 7,765.56 × 7,765.56
  4. Step 4: Simplify right side
    3,536.79x = 60,303,900.27
  5. Step 5: Solve for x
    x = 60,303,900.27/3,536.79
  6. Step 6: Final answer
    x = 17,050.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.