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Finding the Third Proportional to 19,514.25 and 41,990.63

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Solution

The third proportional to 19,514.25 and 41,990.63 is: 90,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.25 : 41,990.63 = 41,990.63 : x
  2. Step 2: Convert to fraction form
    19,514.25/41,990.63 = 41,990.63/x
  3. Step 3: Cross multiply
    19,514.25x = 41,990.63 × 41,990.63
  4. Step 4: Simplify right side
    19,514.25x = 1,763,212,587.89
  5. Step 5: Solve for x
    x = 1,763,212,587.89/19,514.25
  6. Step 6: Final answer
    x = 90,355.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.