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Finding the Third Proportional to 33,523.88 and 45,582.75

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Solution

The third proportional to 33,523.88 and 45,582.75 is: 61,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.88 : 45,582.75 = 45,582.75 : x
  2. Step 2: Convert to fraction form
    33,523.88/45,582.75 = 45,582.75/x
  3. Step 3: Cross multiply
    33,523.88x = 45,582.75 × 45,582.75
  4. Step 4: Simplify right side
    33,523.88x = 2,077,787,097.56
  5. Step 5: Solve for x
    x = 2,077,787,097.56/33,523.88
  6. Step 6: Final answer
    x = 61,979.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.