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Finding the Third Proportional to 12,350 and 19,500

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Solution

The third proportional to 12,350 and 19,500 is: 30,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350 : 19,500 = 19,500 : x
  2. Step 2: Convert to fraction form
    12,350/19,500 = 19,500/x
  3. Step 3: Cross multiply
    12,350x = 19,500 × 19,500
  4. Step 4: Simplify right side
    12,350x = 380,250,000
  5. Step 5: Solve for x
    x = 380,250,000/12,350
  6. Step 6: Final answer
    x = 30,789.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.