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Finding the Third Proportional to 12,347 and 20,059.50

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Solution

The third proportional to 12,347 and 20,059.50 is: 32,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347 : 20,059.50 = 20,059.50 : x
  2. Step 2: Convert to fraction form
    12,347/20,059.50 = 20,059.50/x
  3. Step 3: Cross multiply
    12,347x = 20,059.50 × 20,059.50
  4. Step 4: Simplify right side
    12,347x = 402,383,540.25
  5. Step 5: Solve for x
    x = 402,383,540.25/12,347
  6. Step 6: Final answer
    x = 32,589.58

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.