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Finding the Third Proportional to 16,667.50 and 35,630

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Solution

The third proportional to 16,667.50 and 35,630 is: 76,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,667.50 : 35,630 = 35,630 : x
  2. Step 2: Convert to fraction form
    16,667.50/35,630 = 35,630/x
  3. Step 3: Cross multiply
    16,667.50x = 35,630 × 35,630
  4. Step 4: Simplify right side
    16,667.50x = 1,269,496,900
  5. Step 5: Solve for x
    x = 1,269,496,900/16,667.50
  6. Step 6: Final answer
    x = 76,166.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.