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Finding the Third Proportional to 34,513.59 and 74,464.31

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Solution

The third proportional to 34,513.59 and 74,464.31 is: 160,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.59 : 74,464.31 = 74,464.31 : x
  2. Step 2: Convert to fraction form
    34,513.59/74,464.31 = 74,464.31/x
  3. Step 3: Cross multiply
    34,513.59x = 74,464.31 × 74,464.31
  4. Step 4: Simplify right side
    34,513.59x = 5,544,933,836.10
  5. Step 5: Solve for x
    x = 5,544,933,836.10/34,513.59
  6. Step 6: Final answer
    x = 160,659.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.