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Finding the Third Proportional to 28,333 and 66,175

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Solution

The third proportional to 28,333 and 66,175 is: 154,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,333 : 66,175 = 66,175 : x
  2. Step 2: Convert to fraction form
    28,333/66,175 = 66,175/x
  3. Step 3: Cross multiply
    28,333x = 66,175 × 66,175
  4. Step 4: Simplify right side
    28,333x = 4,379,130,625
  5. Step 5: Solve for x
    x = 4,379,130,625/28,333
  6. Step 6: Final answer
    x = 154,559.37

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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.