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Finding the Third Proportional to 23,611.50 and 55,152

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Solution

The third proportional to 23,611.50 and 55,152 is: 128,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.50 : 55,152 = 55,152 : x
  2. Step 2: Convert to fraction form
    23,611.50/55,152 = 55,152/x
  3. Step 3: Cross multiply
    23,611.50x = 55,152 × 55,152
  4. Step 4: Simplify right side
    23,611.50x = 3,041,743,104
  5. Step 5: Solve for x
    x = 3,041,743,104/23,611.50
  6. Step 6: Final answer
    x = 128,824.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.