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Finding the Third Proportional to 3,953.81 and 5,900.34

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Solution

The third proportional to 3,953.81 and 5,900.34 is: 8,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.81 : 5,900.34 = 5,900.34 : x
  2. Step 2: Convert to fraction form
    3,953.81/5,900.34 = 5,900.34/x
  3. Step 3: Cross multiply
    3,953.81x = 5,900.34 × 5,900.34
  4. Step 4: Simplify right side
    3,953.81x = 34,814,056.37
  5. Step 5: Solve for x
    x = 34,814,056.37/3,953.81
  6. Step 6: Final answer
    x = 8,805.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.