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Finding the Third Proportional to 2,411.02 and 3,732.33

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Solution

The third proportional to 2,411.02 and 3,732.33 is: 5,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.02 : 3,732.33 = 3,732.33 : x
  2. Step 2: Convert to fraction form
    2,411.02/3,732.33 = 3,732.33/x
  3. Step 3: Cross multiply
    2,411.02x = 3,732.33 × 3,732.33
  4. Step 4: Simplify right side
    2,411.02x = 13,930,273.23
  5. Step 5: Solve for x
    x = 13,930,273.23/2,411.02
  6. Step 6: Final answer
    x = 5,777.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.