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Finding the Third Proportional to 19,996 and 30,046

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Solution

The third proportional to 19,996 and 30,046 is: 45,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996 : 30,046 = 30,046 : x
  2. Step 2: Convert to fraction form
    19,996/30,046 = 30,046/x
  3. Step 3: Cross multiply
    19,996x = 30,046 × 30,046
  4. Step 4: Simplify right side
    19,996x = 902,762,116
  5. Step 5: Solve for x
    x = 902,762,116/19,996
  6. Step 6: Final answer
    x = 45,147.14

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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.