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Finding the Third Proportional to 12,006 and 25,861.50

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Solution

The third proportional to 12,006 and 25,861.50 is: 55,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006 : 25,861.50 = 25,861.50 : x
  2. Step 2: Convert to fraction form
    12,006/25,861.50 = 25,861.50/x
  3. Step 3: Cross multiply
    12,006x = 25,861.50 × 25,861.50
  4. Step 4: Simplify right side
    12,006x = 668,817,182.25
  5. Step 5: Solve for x
    x = 668,817,182.25/12,006
  6. Step 6: Final answer
    x = 55,706.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.