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Finding the Third Proportional to 32,928 and 70,400

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Solution

The third proportional to 32,928 and 70,400 is: 150,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928 : 70,400 = 70,400 : x
  2. Step 2: Convert to fraction form
    32,928/70,400 = 70,400/x
  3. Step 3: Cross multiply
    32,928x = 70,400 × 70,400
  4. Step 4: Simplify right side
    32,928x = 4,956,160,000
  5. Step 5: Solve for x
    x = 4,956,160,000/32,928
  6. Step 6: Final answer
    x = 150,515.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.