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Finding the Third Proportional to 16,069.50 and 34,995

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Solution

The third proportional to 16,069.50 and 34,995 is: 76,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.50 : 34,995 = 34,995 : x
  2. Step 2: Convert to fraction form
    16,069.50/34,995 = 34,995/x
  3. Step 3: Cross multiply
    16,069.50x = 34,995 × 34,995
  4. Step 4: Simplify right side
    16,069.50x = 1,224,650,025
  5. Step 5: Solve for x
    x = 1,224,650,025/16,069.50
  6. Step 6: Final answer
    x = 76,209.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.