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Finding the Third Proportional to 19,994.34 and 30,042.77

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Solution

The third proportional to 19,994.34 and 30,042.77 is: 45,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994.34 : 30,042.77 = 30,042.77 : x
  2. Step 2: Convert to fraction form
    19,994.34/30,042.77 = 30,042.77/x
  3. Step 3: Cross multiply
    19,994.34x = 30,042.77 × 30,042.77
  4. Step 4: Simplify right side
    19,994.34x = 902,568,235.82
  5. Step 5: Solve for x
    x = 902,568,235.82/19,994.34
  6. Step 6: Final answer
    x = 45,141.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.