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Finding the Third Proportional to 33,463.13 and 49,269.94

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Solution

The third proportional to 33,463.13 and 49,269.94 is: 72,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,463.13 : 49,269.94 = 49,269.94 : x
  2. Step 2: Convert to fraction form
    33,463.13/49,269.94 = 49,269.94/x
  3. Step 3: Cross multiply
    33,463.13x = 49,269.94 × 49,269.94
  4. Step 4: Simplify right side
    33,463.13x = 2,427,526,741.25
  5. Step 5: Solve for x
    x = 2,427,526,741.25/33,463.13
  6. Step 6: Final answer
    x = 72,543.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.