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Finding the Third Proportional to 10,431.75 and 23,195.75

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Solution

The third proportional to 10,431.75 and 23,195.75 is: 51,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.75 : 23,195.75 = 23,195.75 : x
  2. Step 2: Convert to fraction form
    10,431.75/23,195.75 = 23,195.75/x
  3. Step 3: Cross multiply
    10,431.75x = 23,195.75 × 23,195.75
  4. Step 4: Simplify right side
    10,431.75x = 538,042,818.06
  5. Step 5: Solve for x
    x = 538,042,818.06/10,431.75
  6. Step 6: Final answer
    x = 51,577.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.