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Finding the Third Proportional to 16,245.56 and 35,002.69

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Solution

The third proportional to 16,245.56 and 35,002.69 is: 75,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.56 : 35,002.69 = 35,002.69 : x
  2. Step 2: Convert to fraction form
    16,245.56/35,002.69 = 35,002.69/x
  3. Step 3: Cross multiply
    16,245.56x = 35,002.69 × 35,002.69
  4. Step 4: Simplify right side
    16,245.56x = 1,225,188,132.22
  5. Step 5: Solve for x
    x = 1,225,188,132.22/16,245.56
  6. Step 6: Final answer
    x = 75,416.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.