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Finding the Third Proportional to 43,893.75 and 66,477.75

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Solution

The third proportional to 43,893.75 and 66,477.75 is: 100,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,893.75 : 66,477.75 = 66,477.75 : x
  2. Step 2: Convert to fraction form
    43,893.75/66,477.75 = 66,477.75/x
  3. Step 3: Cross multiply
    43,893.75x = 66,477.75 × 66,477.75
  4. Step 4: Simplify right side
    43,893.75x = 4,419,291,245.06
  5. Step 5: Solve for x
    x = 4,419,291,245.06/43,893.75
  6. Step 6: Final answer
    x = 100,681.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.