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Finding the Third Proportional to 12,276 and 19,849.50

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Solution

The third proportional to 12,276 and 19,849.50 is: 32,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276 : 19,849.50 = 19,849.50 : x
  2. Step 2: Convert to fraction form
    12,276/19,849.50 = 19,849.50/x
  3. Step 3: Cross multiply
    12,276x = 19,849.50 × 19,849.50
  4. Step 4: Simplify right side
    12,276x = 394,002,650.25
  5. Step 5: Solve for x
    x = 394,002,650.25/12,276
  6. Step 6: Final answer
    x = 32,095.36

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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.