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Finding the Third Proportional to 32,000.06 and 68,905.69

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Solution

The third proportional to 32,000.06 and 68,905.69 is: 148,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.06 : 68,905.69 = 68,905.69 : x
  2. Step 2: Convert to fraction form
    32,000.06/68,905.69 = 68,905.69/x
  3. Step 3: Cross multiply
    32,000.06x = 68,905.69 × 68,905.69
  4. Step 4: Simplify right side
    32,000.06x = 4,747,993,769.85
  5. Step 5: Solve for x
    x = 4,747,993,769.85/32,000.06
  6. Step 6: Final answer
    x = 148,374.52

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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.