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Finding the Third Proportional to 23,845.50 and 47,090.81

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Solution

The third proportional to 23,845.50 and 47,090.81 is: 92,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845.50 : 47,090.81 = 47,090.81 : x
  2. Step 2: Convert to fraction form
    23,845.50/47,090.81 = 47,090.81/x
  3. Step 3: Cross multiply
    23,845.50x = 47,090.81 × 47,090.81
  4. Step 4: Simplify right side
    23,845.50x = 2,217,544,621.91
  5. Step 5: Solve for x
    x = 2,217,544,621.91/23,845.50
  6. Step 6: Final answer
    x = 92,996.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.