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Finding the Third Proportional to 47,004.75 and 71,996.63

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Solution

The third proportional to 47,004.75 and 71,996.63 is: 110,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,004.75 : 71,996.63 = 71,996.63 : x
  2. Step 2: Convert to fraction form
    47,004.75/71,996.63 = 71,996.63/x
  3. Step 3: Cross multiply
    47,004.75x = 71,996.63 × 71,996.63
  4. Step 4: Simplify right side
    47,004.75x = 5,183,514,011.39
  5. Step 5: Solve for x
    x = 5,183,514,011.39/47,004.75
  6. Step 6: Final answer
    x = 110,276.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.