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Finding the Third Proportional to 32,074.73 and 46,202.48

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Solution

The third proportional to 32,074.73 and 46,202.48 is: 66,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.73 : 46,202.48 = 46,202.48 : x
  2. Step 2: Convert to fraction form
    32,074.73/46,202.48 = 46,202.48/x
  3. Step 3: Cross multiply
    32,074.73x = 46,202.48 × 46,202.48
  4. Step 4: Simplify right side
    32,074.73x = 2,134,669,562.42
  5. Step 5: Solve for x
    x = 2,134,669,562.42/32,074.73
  6. Step 6: Final answer
    x = 66,552.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.