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Finding the Third Proportional to 12,721.50 and 24,511.50

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Solution

The third proportional to 12,721.50 and 24,511.50 is: 47,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.50 : 24,511.50 = 24,511.50 : x
  2. Step 2: Convert to fraction form
    12,721.50/24,511.50 = 24,511.50/x
  3. Step 3: Cross multiply
    12,721.50x = 24,511.50 × 24,511.50
  4. Step 4: Simplify right side
    12,721.50x = 600,813,632.25
  5. Step 5: Solve for x
    x = 600,813,632.25/12,721.50
  6. Step 6: Final answer
    x = 47,228.21

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.