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Finding the Third Proportional to 12,453 and 18,436.50

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Solution

The third proportional to 12,453 and 18,436.50 is: 27,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453 : 18,436.50 = 18,436.50 : x
  2. Step 2: Convert to fraction form
    12,453/18,436.50 = 18,436.50/x
  3. Step 3: Cross multiply
    12,453x = 18,436.50 × 18,436.50
  4. Step 4: Simplify right side
    12,453x = 339,904,532.25
  5. Step 5: Solve for x
    x = 339,904,532.25/12,453
  6. Step 6: Final answer
    x = 27,294.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.