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Finding the Third Proportional to 32,928 and 69,600

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Solution

The third proportional to 32,928 and 69,600 is: 147,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928 : 69,600 = 69,600 : x
  2. Step 2: Convert to fraction form
    32,928/69,600 = 69,600/x
  3. Step 3: Cross multiply
    32,928x = 69,600 × 69,600
  4. Step 4: Simplify right side
    32,928x = 4,844,160,000
  5. Step 5: Solve for x
    x = 4,844,160,000/32,928
  6. Step 6: Final answer
    x = 147,113.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.