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Finding the Third Proportional to 12,993.75 and 30,314.25

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Solution

The third proportional to 12,993.75 and 30,314.25 is: 70,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.75 : 30,314.25 = 30,314.25 : x
  2. Step 2: Convert to fraction form
    12,993.75/30,314.25 = 30,314.25/x
  3. Step 3: Cross multiply
    12,993.75x = 30,314.25 × 30,314.25
  4. Step 4: Simplify right side
    12,993.75x = 918,953,753.06
  5. Step 5: Solve for x
    x = 918,953,753.06/12,993.75
  6. Step 6: Final answer
    x = 70,722.75

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.