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Finding the Third Proportional to 33,464.02 and 51,816.02

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Solution

The third proportional to 33,464.02 and 51,816.02 is: 80,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464.02 : 51,816.02 = 51,816.02 : x
  2. Step 2: Convert to fraction form
    33,464.02/51,816.02 = 51,816.02/x
  3. Step 3: Cross multiply
    33,464.02x = 51,816.02 × 51,816.02
  4. Step 4: Simplify right side
    33,464.02x = 2,684,900,284.88
  5. Step 5: Solve for x
    x = 2,684,900,284.88/33,464.02
  6. Step 6: Final answer
    x = 80,232.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.