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Finding the Third Proportional to 33,085.13 and 51,269.63

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Solution

The third proportional to 33,085.13 and 51,269.63 is: 79,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.13 : 51,269.63 = 51,269.63 : x
  2. Step 2: Convert to fraction form
    33,085.13/51,269.63 = 51,269.63/x
  3. Step 3: Cross multiply
    33,085.13x = 51,269.63 × 51,269.63
  4. Step 4: Simplify right side
    33,085.13x = 2,628,574,447.64
  5. Step 5: Solve for x
    x = 2,628,574,447.64/33,085.13
  6. Step 6: Final answer
    x = 79,448.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.