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Finding the Third Proportional to 16,020.75 and 34,409.63

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Solution

The third proportional to 16,020.75 and 34,409.63 is: 73,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.75 : 34,409.63 = 34,409.63 : x
  2. Step 2: Convert to fraction form
    16,020.75/34,409.63 = 34,409.63/x
  3. Step 3: Cross multiply
    16,020.75x = 34,409.63 × 34,409.63
  4. Step 4: Simplify right side
    16,020.75x = 1,184,022,292.64
  5. Step 5: Solve for x
    x = 1,184,022,292.64/16,020.75
  6. Step 6: Final answer
    x = 73,905.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.