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Finding the Third Proportional to 34,107.75 and 74,410.31

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Solution

The third proportional to 34,107.75 and 74,410.31 is: 162,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.75 : 74,410.31 = 74,410.31 : x
  2. Step 2: Convert to fraction form
    34,107.75/74,410.31 = 74,410.31/x
  3. Step 3: Cross multiply
    34,107.75x = 74,410.31 × 74,410.31
  4. Step 4: Simplify right side
    34,107.75x = 5,536,894,606.35
  5. Step 5: Solve for x
    x = 5,536,894,606.35/34,107.75
  6. Step 6: Final answer
    x = 162,335.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.