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Finding the Third Proportional to 51,809.63 and 80,003.81

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Solution

The third proportional to 51,809.63 and 80,003.81 is: 123,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.63 : 80,003.81 = 80,003.81 : x
  2. Step 2: Convert to fraction form
    51,809.63/80,003.81 = 80,003.81/x
  3. Step 3: Cross multiply
    51,809.63x = 80,003.81 × 80,003.81
  4. Step 4: Simplify right side
    51,809.63x = 6,400,610,014.54
  5. Step 5: Solve for x
    x = 6,400,610,014.54/51,809.63
  6. Step 6: Final answer
    x = 123,540.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.