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Finding the Third Proportional to 42,049.13 and 49,020.19

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Solution

The third proportional to 42,049.13 and 49,020.19 is: 57,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,049.13 : 49,020.19 = 49,020.19 : x
  2. Step 2: Convert to fraction form
    42,049.13/49,020.19 = 49,020.19/x
  3. Step 3: Cross multiply
    42,049.13x = 49,020.19 × 49,020.19
  4. Step 4: Simplify right side
    42,049.13x = 2,402,978,782.54
  5. Step 5: Solve for x
    x = 2,402,978,782.54/42,049.13
  6. Step 6: Final answer
    x = 57,146.94

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.