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Finding the Third Proportional to 33,307.88 and 69,589.13

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Solution

The third proportional to 33,307.88 and 69,589.13 is: 145,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,307.88 : 69,589.13 = 69,589.13 : x
  2. Step 2: Convert to fraction form
    33,307.88/69,589.13 = 69,589.13/x
  3. Step 3: Cross multiply
    33,307.88x = 69,589.13 × 69,589.13
  4. Step 4: Simplify right side
    33,307.88x = 4,842,646,318.27
  5. Step 5: Solve for x
    x = 4,842,646,318.27/33,307.88
  6. Step 6: Final answer
    x = 145,390.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.