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Finding the Third Proportional to 33,287.63 and 46,821.38

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Solution

The third proportional to 33,287.63 and 46,821.38 is: 65,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,287.63 : 46,821.38 = 46,821.38 : x
  2. Step 2: Convert to fraction form
    33,287.63/46,821.38 = 46,821.38/x
  3. Step 3: Cross multiply
    33,287.63x = 46,821.38 × 46,821.38
  4. Step 4: Simplify right side
    33,287.63x = 2,192,241,156.89
  5. Step 5: Solve for x
    x = 2,192,241,156.89/33,287.63
  6. Step 6: Final answer
    x = 65,857.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.