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Finding the Third Proportional to 30,435.75 and 37,201.78

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Solution

The third proportional to 30,435.75 and 37,201.78 is: 45,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.75 : 37,201.78 = 37,201.78 : x
  2. Step 2: Convert to fraction form
    30,435.75/37,201.78 = 37,201.78/x
  3. Step 3: Cross multiply
    30,435.75x = 37,201.78 × 37,201.78
  4. Step 4: Simplify right side
    30,435.75x = 1,383,972,528.17
  5. Step 5: Solve for x
    x = 1,383,972,528.17/30,435.75
  6. Step 6: Final answer
    x = 45,471.94

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.