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Finding the Third Proportional to 19,667.50 and 30,085

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Solution

The third proportional to 19,667.50 and 30,085 is: 46,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.50 : 30,085 = 30,085 : x
  2. Step 2: Convert to fraction form
    19,667.50/30,085 = 30,085/x
  3. Step 3: Cross multiply
    19,667.50x = 30,085 × 30,085
  4. Step 4: Simplify right side
    19,667.50x = 905,107,225
  5. Step 5: Solve for x
    x = 905,107,225/19,667.50
  6. Step 6: Final answer
    x = 46,020.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.