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Finding the Third Proportional to 51,808.78 and 80,002.69

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Solution

The third proportional to 51,808.78 and 80,002.69 is: 123,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.78 : 80,002.69 = 80,002.69 : x
  2. Step 2: Convert to fraction form
    51,808.78/80,002.69 = 80,002.69/x
  3. Step 3: Cross multiply
    51,808.78x = 80,002.69 × 80,002.69
  4. Step 4: Simplify right side
    51,808.78x = 6,400,430,007.22
  5. Step 5: Solve for x
    x = 6,400,430,007.22/51,808.78
  6. Step 6: Final answer
    x = 123,539.48

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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.