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Finding the Third Proportional to 19,128.75 and 41,645.63

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Solution

The third proportional to 19,128.75 and 41,645.63 is: 90,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,128.75 : 41,645.63 = 41,645.63 : x
  2. Step 2: Convert to fraction form
    19,128.75/41,645.63 = 41,645.63/x
  3. Step 3: Cross multiply
    19,128.75x = 41,645.63 × 41,645.63
  4. Step 4: Simplify right side
    19,128.75x = 1,734,358,081.64
  5. Step 5: Solve for x
    x = 1,734,358,081.64/19,128.75
  6. Step 6: Final answer
    x = 90,667.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.