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Finding the Third Proportional to 33,503.63 and 69,801.75

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Solution

The third proportional to 33,503.63 and 69,801.75 is: 145,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,503.63 : 69,801.75 = 69,801.75 : x
  2. Step 2: Convert to fraction form
    33,503.63/69,801.75 = 69,801.75/x
  3. Step 3: Cross multiply
    33,503.63x = 69,801.75 × 69,801.75
  4. Step 4: Simplify right side
    33,503.63x = 4,872,284,303.06
  5. Step 5: Solve for x
    x = 4,872,284,303.06/33,503.63
  6. Step 6: Final answer
    x = 145,425.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.