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Finding the Third Proportional to 28,224.75 and 41,557.44

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Solution

The third proportional to 28,224.75 and 41,557.44 is: 61,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.75 : 41,557.44 = 41,557.44 : x
  2. Step 2: Convert to fraction form
    28,224.75/41,557.44 = 41,557.44/x
  3. Step 3: Cross multiply
    28,224.75x = 41,557.44 × 41,557.44
  4. Step 4: Simplify right side
    28,224.75x = 1,727,020,611.57
  5. Step 5: Solve for x
    x = 1,727,020,611.57/28,224.75
  6. Step 6: Final answer
    x = 61,188.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.