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Finding the Third Proportional to 4,901.77 and 11,090.67

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Solution

The third proportional to 4,901.77 and 11,090.67 is: 25,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.77 : 11,090.67 = 11,090.67 : x
  2. Step 2: Convert to fraction form
    4,901.77/11,090.67 = 11,090.67/x
  3. Step 3: Cross multiply
    4,901.77x = 11,090.67 × 11,090.67
  4. Step 4: Simplify right side
    4,901.77x = 123,003,002.64
  5. Step 5: Solve for x
    x = 123,003,002.64/4,901.77
  6. Step 6: Final answer
    x = 25,093.61

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.