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Finding the Third Proportional to 11,138.77 and 23,195.74

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Solution

The third proportional to 11,138.77 and 23,195.74 is: 48,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.77 : 23,195.74 = 23,195.74 : x
  2. Step 2: Convert to fraction form
    11,138.77/23,195.74 = 23,195.74/x
  3. Step 3: Cross multiply
    11,138.77x = 23,195.74 × 23,195.74
  4. Step 4: Simplify right side
    11,138.77x = 538,042,455.63
  5. Step 5: Solve for x
    x = 538,042,455.63/11,138.77
  6. Step 6: Final answer
    x = 48,303.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.