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Finding the Third Proportional to 33,541.59 and 69,805.55

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Solution

The third proportional to 33,541.59 and 69,805.55 is: 145,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541.59 : 69,805.55 = 69,805.55 : x
  2. Step 2: Convert to fraction form
    33,541.59/69,805.55 = 69,805.55/x
  3. Step 3: Cross multiply
    33,541.59x = 69,805.55 × 69,805.55
  4. Step 4: Simplify right side
    33,541.59x = 4,872,814,374.52
  5. Step 5: Solve for x
    x = 4,872,814,374.52/33,541.59
  6. Step 6: Final answer
    x = 145,276.77

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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.