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Finding the Third Proportional to 14,269.50 and 17,993.25

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Solution

The third proportional to 14,269.50 and 17,993.25 is: 22,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.50 : 17,993.25 = 17,993.25 : x
  2. Step 2: Convert to fraction form
    14,269.50/17,993.25 = 17,993.25/x
  3. Step 3: Cross multiply
    14,269.50x = 17,993.25 × 17,993.25
  4. Step 4: Simplify right side
    14,269.50x = 323,757,045.56
  5. Step 5: Solve for x
    x = 323,757,045.56/14,269.50
  6. Step 6: Final answer
    x = 22,688.74

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.