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Finding the Third Proportional to 16,119 and 34,047

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Solution

The third proportional to 16,119 and 34,047 is: 71,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119 : 34,047 = 34,047 : x
  2. Step 2: Convert to fraction form
    16,119/34,047 = 34,047/x
  3. Step 3: Cross multiply
    16,119x = 34,047 × 34,047
  4. Step 4: Simplify right side
    16,119x = 1,159,198,209
  5. Step 5: Solve for x
    x = 1,159,198,209/16,119
  6. Step 6: Final answer
    x = 71,915.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.