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Finding the Third Proportional to 12,589 and 17,599.50

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Solution

The third proportional to 12,589 and 17,599.50 is: 24,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589 : 17,599.50 = 17,599.50 : x
  2. Step 2: Convert to fraction form
    12,589/17,599.50 = 17,599.50/x
  3. Step 3: Cross multiply
    12,589x = 17,599.50 × 17,599.50
  4. Step 4: Simplify right side
    12,589x = 309,742,400.25
  5. Step 5: Solve for x
    x = 309,742,400.25/12,589
  6. Step 6: Final answer
    x = 24,604.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.