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Finding the Third Proportional to 14,571 and 18,085.50

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Solution

The third proportional to 14,571 and 18,085.50 is: 22,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571 : 18,085.50 = 18,085.50 : x
  2. Step 2: Convert to fraction form
    14,571/18,085.50 = 18,085.50/x
  3. Step 3: Cross multiply
    14,571x = 18,085.50 × 18,085.50
  4. Step 4: Simplify right side
    14,571x = 327,085,310.25
  5. Step 5: Solve for x
    x = 327,085,310.25/14,571
  6. Step 6: Final answer
    x = 22,447.69

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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.