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Finding the Third Proportional to 2,127.75 and 3,340.50

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Solution

The third proportional to 2,127.75 and 3,340.50 is: 5,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.75 : 3,340.50 = 3,340.50 : x
  2. Step 2: Convert to fraction form
    2,127.75/3,340.50 = 3,340.50/x
  3. Step 3: Cross multiply
    2,127.75x = 3,340.50 × 3,340.50
  4. Step 4: Simplify right side
    2,127.75x = 11,158,940.25
  5. Step 5: Solve for x
    x = 11,158,940.25/2,127.75
  6. Step 6: Final answer
    x = 5,244.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.