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Finding the Third Proportional to 19,833.75 and 30,003.75

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Solution

The third proportional to 19,833.75 and 30,003.75 is: 45,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.75 : 30,003.75 = 30,003.75 : x
  2. Step 2: Convert to fraction form
    19,833.75/30,003.75 = 30,003.75/x
  3. Step 3: Cross multiply
    19,833.75x = 30,003.75 × 30,003.75
  4. Step 4: Simplify right side
    19,833.75x = 900,225,014.06
  5. Step 5: Solve for x
    x = 900,225,014.06/19,833.75
  6. Step 6: Final answer
    x = 45,388.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.