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Finding the Third Proportional to 6,083.75 and 13,076.50

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Solution

The third proportional to 6,083.75 and 13,076.50 is: 28,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.75 : 13,076.50 = 13,076.50 : x
  2. Step 2: Convert to fraction form
    6,083.75/13,076.50 = 13,076.50/x
  3. Step 3: Cross multiply
    6,083.75x = 13,076.50 × 13,076.50
  4. Step 4: Simplify right side
    6,083.75x = 170,994,852.25
  5. Step 5: Solve for x
    x = 170,994,852.25/6,083.75
  6. Step 6: Final answer
    x = 28,106.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.