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Finding the Third Proportional to 19,994 and 30,043

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Solution

The third proportional to 19,994 and 30,043 is: 45,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994 : 30,043 = 30,043 : x
  2. Step 2: Convert to fraction form
    19,994/30,043 = 30,043/x
  3. Step 3: Cross multiply
    19,994x = 30,043 × 30,043
  4. Step 4: Simplify right side
    19,994x = 902,581,849
  5. Step 5: Solve for x
    x = 902,581,849/19,994
  6. Step 6: Final answer
    x = 45,142.64

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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.