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Finding the Third Proportional to 33,561.38 and 47,036.06

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Solution

The third proportional to 33,561.38 and 47,036.06 is: 65,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,561.38 : 47,036.06 = 47,036.06 : x
  2. Step 2: Convert to fraction form
    33,561.38/47,036.06 = 47,036.06/x
  3. Step 3: Cross multiply
    33,561.38x = 47,036.06 × 47,036.06
  4. Step 4: Simplify right side
    33,561.38x = 2,212,391,175.50
  5. Step 5: Solve for x
    x = 2,212,391,175.50/33,561.38
  6. Step 6: Final answer
    x = 65,920.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.