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Finding the Third Proportional to 18,629.50 and 28,185

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Solution

The third proportional to 18,629.50 and 28,185 is: 42,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,629.50 : 28,185 = 28,185 : x
  2. Step 2: Convert to fraction form
    18,629.50/28,185 = 28,185/x
  3. Step 3: Cross multiply
    18,629.50x = 28,185 × 28,185
  4. Step 4: Simplify right side
    18,629.50x = 794,394,225
  5. Step 5: Solve for x
    x = 794,394,225/18,629.50
  6. Step 6: Final answer
    x = 42,641.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.