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Finding the Third Proportional to 2,709 and 4,040.25

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Solution

The third proportional to 2,709 and 4,040.25 is: 6,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 4,040.25 = 4,040.25 : x
  2. Step 2: Convert to fraction form
    2,709/4,040.25 = 4,040.25/x
  3. Step 3: Cross multiply
    2,709x = 4,040.25 × 4,040.25
  4. Step 4: Simplify right side
    2,709x = 16,323,620.06
  5. Step 5: Solve for x
    x = 16,323,620.06/2,709
  6. Step 6: Final answer
    x = 6,025.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.