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Finding the Third Proportional to 9,997 and 14,940.50

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Solution

The third proportional to 9,997 and 14,940.50 is: 22,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997 : 14,940.50 = 14,940.50 : x
  2. Step 2: Convert to fraction form
    9,997/14,940.50 = 14,940.50/x
  3. Step 3: Cross multiply
    9,997x = 14,940.50 × 14,940.50
  4. Step 4: Simplify right side
    9,997x = 223,218,540.25
  5. Step 5: Solve for x
    x = 223,218,540.25/9,997
  6. Step 6: Final answer
    x = 22,328.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.