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Finding the Third Proportional to 32,375 and 50,000.50

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Solution

The third proportional to 32,375 and 50,000.50 is: 77,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375 : 50,000.50 = 50,000.50 : x
  2. Step 2: Convert to fraction form
    32,375/50,000.50 = 50,000.50/x
  3. Step 3: Cross multiply
    32,375x = 50,000.50 × 50,000.50
  4. Step 4: Simplify right side
    32,375x = 2,500,050,000.25
  5. Step 5: Solve for x
    x = 2,500,050,000.25/32,375
  6. Step 6: Final answer
    x = 77,221.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.