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Finding the Third Proportional to 21,530 and 32,318

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Solution

The third proportional to 21,530 and 32,318 is: 48,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530 : 32,318 = 32,318 : x
  2. Step 2: Convert to fraction form
    21,530/32,318 = 32,318/x
  3. Step 3: Cross multiply
    21,530x = 32,318 × 32,318
  4. Step 4: Simplify right side
    21,530x = 1,044,453,124
  5. Step 5: Solve for x
    x = 1,044,453,124/21,530
  6. Step 6: Final answer
    x = 48,511.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.