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Finding the Third Proportional to 5,625.25 and 13,022.75

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Solution

The third proportional to 5,625.25 and 13,022.75 is: 30,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.25 : 13,022.75 = 13,022.75 : x
  2. Step 2: Convert to fraction form
    5,625.25/13,022.75 = 13,022.75/x
  3. Step 3: Cross multiply
    5,625.25x = 13,022.75 × 13,022.75
  4. Step 4: Simplify right side
    5,625.25x = 169,592,017.56
  5. Step 5: Solve for x
    x = 169,592,017.56/5,625.25
  6. Step 6: Final answer
    x = 30,148.35

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.