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Finding the Third Proportional to 5,957.72 and 11,765.81

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Solution

The third proportional to 5,957.72 and 11,765.81 is: 23,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.72 : 11,765.81 = 11,765.81 : x
  2. Step 2: Convert to fraction form
    5,957.72/11,765.81 = 11,765.81/x
  3. Step 3: Cross multiply
    5,957.72x = 11,765.81 × 11,765.81
  4. Step 4: Simplify right side
    5,957.72x = 138,434,343.79
  5. Step 5: Solve for x
    x = 138,434,343.79/5,957.72
  6. Step 6: Final answer
    x = 23,236.13

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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.