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Finding the Third Proportional to 12,309.75 and 17,563.50

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Solution

The third proportional to 12,309.75 and 17,563.50 is: 25,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.75 : 17,563.50 = 17,563.50 : x
  2. Step 2: Convert to fraction form
    12,309.75/17,563.50 = 17,563.50/x
  3. Step 3: Cross multiply
    12,309.75x = 17,563.50 × 17,563.50
  4. Step 4: Simplify right side
    12,309.75x = 308,476,532.25
  5. Step 5: Solve for x
    x = 308,476,532.25/12,309.75
  6. Step 6: Final answer
    x = 25,059.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.