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Finding the Third Proportional to 32,271 and 69,906

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Solution

The third proportional to 32,271 and 69,906 is: 151,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271 : 69,906 = 69,906 : x
  2. Step 2: Convert to fraction form
    32,271/69,906 = 69,906/x
  3. Step 3: Cross multiply
    32,271x = 69,906 × 69,906
  4. Step 4: Simplify right side
    32,271x = 4,886,848,836
  5. Step 5: Solve for x
    x = 4,886,848,836/32,271
  6. Step 6: Final answer
    x = 151,431.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.