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Finding the Third Proportional to 19,738.69 and 46,590.19

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Solution

The third proportional to 19,738.69 and 46,590.19 is: 109,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738.69 : 46,590.19 = 46,590.19 : x
  2. Step 2: Convert to fraction form
    19,738.69/46,590.19 = 46,590.19/x
  3. Step 3: Cross multiply
    19,738.69x = 46,590.19 × 46,590.19
  4. Step 4: Simplify right side
    19,738.69x = 2,170,645,571.29
  5. Step 5: Solve for x
    x = 2,170,645,571.29/19,738.69
  6. Step 6: Final answer
    x = 109,969.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.