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Finding the Third Proportional to 2,709.07 and 5,501.67

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Solution

The third proportional to 2,709.07 and 5,501.67 is: 11,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.07 : 5,501.67 = 5,501.67 : x
  2. Step 2: Convert to fraction form
    2,709.07/5,501.67 = 5,501.67/x
  3. Step 3: Cross multiply
    2,709.07x = 5,501.67 × 5,501.67
  4. Step 4: Simplify right side
    2,709.07x = 30,268,393.42
  5. Step 5: Solve for x
    x = 30,268,393.42/2,709.07
  6. Step 6: Final answer
    x = 11,172.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.