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Finding the Third Proportional to 23,950 and 32,219

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Solution

The third proportional to 23,950 and 32,219 is: 43,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,950 : 32,219 = 32,219 : x
  2. Step 2: Convert to fraction form
    23,950/32,219 = 32,219/x
  3. Step 3: Cross multiply
    23,950x = 32,219 × 32,219
  4. Step 4: Simplify right side
    23,950x = 1,038,063,961
  5. Step 5: Solve for x
    x = 1,038,063,961/23,950
  6. Step 6: Final answer
    x = 43,342.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.