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Finding the Third Proportional to 47,741.63 and 104,042.81

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Solution

The third proportional to 47,741.63 and 104,042.81 is: 226,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,741.63 : 104,042.81 = 104,042.81 : x
  2. Step 2: Convert to fraction form
    47,741.63/104,042.81 = 104,042.81/x
  3. Step 3: Cross multiply
    47,741.63x = 104,042.81 × 104,042.81
  4. Step 4: Simplify right side
    47,741.63x = 10,824,906,832.91
  5. Step 5: Solve for x
    x = 10,824,906,832.91/47,741.63
  6. Step 6: Final answer
    x = 226,739.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.