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Finding the Third Proportional to 30,381.75 and 63,200.25

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Solution

The third proportional to 30,381.75 and 63,200.25 is: 131,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.75 : 63,200.25 = 63,200.25 : x
  2. Step 2: Convert to fraction form
    30,381.75/63,200.25 = 63,200.25/x
  3. Step 3: Cross multiply
    30,381.75x = 63,200.25 × 63,200.25
  4. Step 4: Simplify right side
    30,381.75x = 3,994,271,600.06
  5. Step 5: Solve for x
    x = 3,994,271,600.06/30,381.75
  6. Step 6: Final answer
    x = 131,469.44

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.