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Finding the Third Proportional to 33,442.88 and 53,019.56

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Solution

The third proportional to 33,442.88 and 53,019.56 is: 84,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.88 : 53,019.56 = 53,019.56 : x
  2. Step 2: Convert to fraction form
    33,442.88/53,019.56 = 53,019.56/x
  3. Step 3: Cross multiply
    33,442.88x = 53,019.56 × 53,019.56
  4. Step 4: Simplify right side
    33,442.88x = 2,811,074,007.69
  5. Step 5: Solve for x
    x = 2,811,074,007.69/33,442.88
  6. Step 6: Final answer
    x = 84,055.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.