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Finding the Third Proportional to 10,447.31 and 21,404.25

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Solution

The third proportional to 10,447.31 and 21,404.25 is: 43,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.31 : 21,404.25 = 21,404.25 : x
  2. Step 2: Convert to fraction form
    10,447.31/21,404.25 = 21,404.25/x
  3. Step 3: Cross multiply
    10,447.31x = 21,404.25 × 21,404.25
  4. Step 4: Simplify right side
    10,447.31x = 458,141,918.06
  5. Step 5: Solve for x
    x = 458,141,918.06/10,447.31
  6. Step 6: Final answer
    x = 43,852.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.