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Finding the Third Proportional to 32,353 and 50,219

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Solution

The third proportional to 32,353 and 50,219 is: 77,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353 : 50,219 = 50,219 : x
  2. Step 2: Convert to fraction form
    32,353/50,219 = 50,219/x
  3. Step 3: Cross multiply
    32,353x = 50,219 × 50,219
  4. Step 4: Simplify right side
    32,353x = 2,521,947,961
  5. Step 5: Solve for x
    x = 2,521,947,961/32,353
  6. Step 6: Final answer
    x = 77,950.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.