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Finding the Third Proportional to 26,974.69 and 42,315.19

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Solution

The third proportional to 26,974.69 and 42,315.19 is: 66,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974.69 : 42,315.19 = 42,315.19 : x
  2. Step 2: Convert to fraction form
    26,974.69/42,315.19 = 42,315.19/x
  3. Step 3: Cross multiply
    26,974.69x = 42,315.19 × 42,315.19
  4. Step 4: Simplify right side
    26,974.69x = 1,790,575,093.16
  5. Step 5: Solve for x
    x = 1,790,575,093.16/26,974.69
  6. Step 6: Final answer
    x = 66,379.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.