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Finding the Third Proportional to 12,133.31 and 25,953.38

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Solution

The third proportional to 12,133.31 and 25,953.38 is: 55,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.31 : 25,953.38 = 25,953.38 : x
  2. Step 2: Convert to fraction form
    12,133.31/25,953.38 = 25,953.38/x
  3. Step 3: Cross multiply
    12,133.31x = 25,953.38 × 25,953.38
  4. Step 4: Simplify right side
    12,133.31x = 673,577,978.03
  5. Step 5: Solve for x
    x = 673,577,978.03/12,133.31
  6. Step 6: Final answer
    x = 55,514.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.