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Finding the Third Proportional to 7,764.19 and 16,770.38

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Solution

The third proportional to 7,764.19 and 16,770.38 is: 36,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.19 : 16,770.38 = 16,770.38 : x
  2. Step 2: Convert to fraction form
    7,764.19/16,770.38 = 16,770.38/x
  3. Step 3: Cross multiply
    7,764.19x = 16,770.38 × 16,770.38
  4. Step 4: Simplify right side
    7,764.19x = 281,245,477.64
  5. Step 5: Solve for x
    x = 281,245,477.64/7,764.19
  6. Step 6: Final answer
    x = 36,223.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.