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Finding the Third Proportional to 32,928 and 71,002

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Solution

The third proportional to 32,928 and 71,002 is: 153,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928 : 71,002 = 71,002 : x
  2. Step 2: Convert to fraction form
    32,928/71,002 = 71,002/x
  3. Step 3: Cross multiply
    32,928x = 71,002 × 71,002
  4. Step 4: Simplify right side
    32,928x = 5,041,284,004
  5. Step 5: Solve for x
    x = 5,041,284,004/32,928
  6. Step 6: Final answer
    x = 153,100.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.