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Finding the Third Proportional to 32,048 and 69,028

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Solution

The third proportional to 32,048 and 69,028 is: 148,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048 : 69,028 = 69,028 : x
  2. Step 2: Convert to fraction form
    32,048/69,028 = 69,028/x
  3. Step 3: Cross multiply
    32,048x = 69,028 × 69,028
  4. Step 4: Simplify right side
    32,048x = 4,764,864,784
  5. Step 5: Solve for x
    x = 4,764,864,784/32,048
  6. Step 6: Final answer
    x = 148,679.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.