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Finding the Third Proportional to 44,290.13 and 66,769.31

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Solution

The third proportional to 44,290.13 and 66,769.31 is: 100,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,290.13 : 66,769.31 = 66,769.31 : x
  2. Step 2: Convert to fraction form
    44,290.13/66,769.31 = 66,769.31/x
  3. Step 3: Cross multiply
    44,290.13x = 66,769.31 × 66,769.31
  4. Step 4: Simplify right side
    44,290.13x = 4,458,141,091.72
  5. Step 5: Solve for x
    x = 4,458,141,091.72/44,290.13
  6. Step 6: Final answer
    x = 100,657.68

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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.