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Finding the Third Proportional to 32,012 and 69,935

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Solution

The third proportional to 32,012 and 69,935 is: 152,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012 : 69,935 = 69,935 : x
  2. Step 2: Convert to fraction form
    32,012/69,935 = 69,935/x
  3. Step 3: Cross multiply
    32,012x = 69,935 × 69,935
  4. Step 4: Simplify right side
    32,012x = 4,890,904,225
  5. Step 5: Solve for x
    x = 4,890,904,225/32,012
  6. Step 6: Final answer
    x = 152,783.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.