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Finding the Third Proportional to 3,790.23 and 5,900.34

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Solution

The third proportional to 3,790.23 and 5,900.34 is: 9,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.23 : 5,900.34 = 5,900.34 : x
  2. Step 2: Convert to fraction form
    3,790.23/5,900.34 = 5,900.34/x
  3. Step 3: Cross multiply
    3,790.23x = 5,900.34 × 5,900.34
  4. Step 4: Simplify right side
    3,790.23x = 34,814,056.37
  5. Step 5: Solve for x
    x = 34,814,056.37/3,790.23
  6. Step 6: Final answer
    x = 9,185.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.