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Finding the Third Proportional to 8,444.50 and 11,706.50

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Solution

The third proportional to 8,444.50 and 11,706.50 is: 16,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.50 : 11,706.50 = 11,706.50 : x
  2. Step 2: Convert to fraction form
    8,444.50/11,706.50 = 11,706.50/x
  3. Step 3: Cross multiply
    8,444.50x = 11,706.50 × 11,706.50
  4. Step 4: Simplify right side
    8,444.50x = 137,042,142.25
  5. Step 5: Solve for x
    x = 137,042,142.25/8,444.50
  6. Step 6: Final answer
    x = 16,228.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.