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Finding the Third Proportional to 28,227 and 43,316.50

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Solution

The third proportional to 28,227 and 43,316.50 is: 66,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227 : 43,316.50 = 43,316.50 : x
  2. Step 2: Convert to fraction form
    28,227/43,316.50 = 43,316.50/x
  3. Step 3: Cross multiply
    28,227x = 43,316.50 × 43,316.50
  4. Step 4: Simplify right side
    28,227x = 1,876,319,172.25
  5. Step 5: Solve for x
    x = 1,876,319,172.25/28,227
  6. Step 6: Final answer
    x = 66,472.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.