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Finding the Third Proportional to 9,259.31 and 19,407.09

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Solution

The third proportional to 9,259.31 and 19,407.09 is: 40,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.31 : 19,407.09 = 19,407.09 : x
  2. Step 2: Convert to fraction form
    9,259.31/19,407.09 = 19,407.09/x
  3. Step 3: Cross multiply
    9,259.31x = 19,407.09 × 19,407.09
  4. Step 4: Simplify right side
    9,259.31x = 376,635,287.82
  5. Step 5: Solve for x
    x = 376,635,287.82/9,259.31
  6. Step 6: Final answer
    x = 40,676.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.