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Finding the Third Proportional to 32,370.50 and 70,625

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Solution

The third proportional to 32,370.50 and 70,625 is: 154,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,370.50 : 70,625 = 70,625 : x
  2. Step 2: Convert to fraction form
    32,370.50/70,625 = 70,625/x
  3. Step 3: Cross multiply
    32,370.50x = 70,625 × 70,625
  4. Step 4: Simplify right side
    32,370.50x = 4,987,890,625
  5. Step 5: Solve for x
    x = 4,987,890,625/32,370.50
  6. Step 6: Final answer
    x = 154,087.54

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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.