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Finding the Third Proportional to 32,000 and 68,907

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Solution

The third proportional to 32,000 and 68,907 is: 148,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000 : 68,907 = 68,907 : x
  2. Step 2: Convert to fraction form
    32,000/68,907 = 68,907/x
  3. Step 3: Cross multiply
    32,000x = 68,907 × 68,907
  4. Step 4: Simplify right side
    32,000x = 4,748,174,649
  5. Step 5: Solve for x
    x = 4,748,174,649/32,000
  6. Step 6: Final answer
    x = 148,380.46

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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.