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Finding the Third Proportional to 2,749.36 and 4,259.67

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Solution

The third proportional to 2,749.36 and 4,259.67 is: 6,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.36 : 4,259.67 = 4,259.67 : x
  2. Step 2: Convert to fraction form
    2,749.36/4,259.67 = 4,259.67/x
  3. Step 3: Cross multiply
    2,749.36x = 4,259.67 × 4,259.67
  4. Step 4: Simplify right side
    2,749.36x = 18,144,804.48
  5. Step 5: Solve for x
    x = 18,144,804.48/2,749.36
  6. Step 6: Final answer
    x = 6,599.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.