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Finding the Third Proportional to 19,185.75 and 41,653.13

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Solution

The third proportional to 19,185.75 and 41,653.13 is: 90,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185.75 : 41,653.13 = 41,653.13 : x
  2. Step 2: Convert to fraction form
    19,185.75/41,653.13 = 41,653.13/x
  3. Step 3: Cross multiply
    19,185.75x = 41,653.13 × 41,653.13
  4. Step 4: Simplify right side
    19,185.75x = 1,734,982,822.27
  5. Step 5: Solve for x
    x = 1,734,982,822.27/19,185.75
  6. Step 6: Final answer
    x = 90,430.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.