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Finding the Third Proportional to 43,783.50 and 66,769.50

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Solution

The third proportional to 43,783.50 and 66,769.50 is: 101,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,783.50 : 66,769.50 = 66,769.50 : x
  2. Step 2: Convert to fraction form
    43,783.50/66,769.50 = 66,769.50/x
  3. Step 3: Cross multiply
    43,783.50x = 66,769.50 × 66,769.50
  4. Step 4: Simplify right side
    43,783.50x = 4,458,166,130.25
  5. Step 5: Solve for x
    x = 4,458,166,130.25/43,783.50
  6. Step 6: Final answer
    x = 101,822.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.