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Finding the Third Proportional to 8,441.75 and 13,252.25

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Solution

The third proportional to 8,441.75 and 13,252.25 is: 20,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.75 : 13,252.25 = 13,252.25 : x
  2. Step 2: Convert to fraction form
    8,441.75/13,252.25 = 13,252.25/x
  3. Step 3: Cross multiply
    8,441.75x = 13,252.25 × 13,252.25
  4. Step 4: Simplify right side
    8,441.75x = 175,622,130.06
  5. Step 5: Solve for x
    x = 175,622,130.06/8,441.75
  6. Step 6: Final answer
    x = 20,804.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.