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Finding the Third Proportional to 32,601.55 and 69,509.07

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Solution

The third proportional to 32,601.55 and 69,509.07 is: 148,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.55 : 69,509.07 = 69,509.07 : x
  2. Step 2: Convert to fraction form
    32,601.55/69,509.07 = 69,509.07/x
  3. Step 3: Cross multiply
    32,601.55x = 69,509.07 × 69,509.07
  4. Step 4: Simplify right side
    32,601.55x = 4,831,511,398.75
  5. Step 5: Solve for x
    x = 4,831,511,398.75/32,601.55
  6. Step 6: Final answer
    x = 148,198.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.