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Finding the Third Proportional to 6,025.50 and 12,881.25

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Solution

The third proportional to 6,025.50 and 12,881.25 is: 27,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.50 : 12,881.25 = 12,881.25 : x
  2. Step 2: Convert to fraction form
    6,025.50/12,881.25 = 12,881.25/x
  3. Step 3: Cross multiply
    6,025.50x = 12,881.25 × 12,881.25
  4. Step 4: Simplify right side
    6,025.50x = 165,926,601.56
  5. Step 5: Solve for x
    x = 165,926,601.56/6,025.50
  6. Step 6: Final answer
    x = 27,537.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.