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Finding the Third Proportional to 12,654 and 24,943.50

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Solution

The third proportional to 12,654 and 24,943.50 is: 49,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 24,943.50 = 24,943.50 : x
  2. Step 2: Convert to fraction form
    12,654/24,943.50 = 24,943.50/x
  3. Step 3: Cross multiply
    12,654x = 24,943.50 × 24,943.50
  4. Step 4: Simplify right side
    12,654x = 622,178,192.25
  5. Step 5: Solve for x
    x = 622,178,192.25/12,654
  6. Step 6: Final answer
    x = 49,168.50

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.