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Finding the Third Proportional to 2,351.81 and 3,575.81

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Solution

The third proportional to 2,351.81 and 3,575.81 is: 5,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.81 : 3,575.81 = 3,575.81 : x
  2. Step 2: Convert to fraction form
    2,351.81/3,575.81 = 3,575.81/x
  3. Step 3: Cross multiply
    2,351.81x = 3,575.81 × 3,575.81
  4. Step 4: Simplify right side
    2,351.81x = 12,786,435.04
  5. Step 5: Solve for x
    x = 12,786,435.04/2,351.81
  6. Step 6: Final answer
    x = 5,436.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.