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Finding the Third Proportional to 19,049.63 and 41,277.38

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Solution

The third proportional to 19,049.63 and 41,277.38 is: 89,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.63 : 41,277.38 = 41,277.38 : x
  2. Step 2: Convert to fraction form
    19,049.63/41,277.38 = 41,277.38/x
  3. Step 3: Cross multiply
    19,049.63x = 41,277.38 × 41,277.38
  4. Step 4: Simplify right side
    19,049.63x = 1,703,821,686.89
  5. Step 5: Solve for x
    x = 1,703,821,686.89/19,049.63
  6. Step 6: Final answer
    x = 89,441.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.