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Finding the Third Proportional to 6,213.75 and 12,112.50

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Solution

The third proportional to 6,213.75 and 12,112.50 is: 23,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.75 : 12,112.50 = 12,112.50 : x
  2. Step 2: Convert to fraction form
    6,213.75/12,112.50 = 12,112.50/x
  3. Step 3: Cross multiply
    6,213.75x = 12,112.50 × 12,112.50
  4. Step 4: Simplify right side
    6,213.75x = 146,712,656.25
  5. Step 5: Solve for x
    x = 146,712,656.25/6,213.75
  6. Step 6: Final answer
    x = 23,610.97

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.