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Finding the Third Proportional to 11,930.26 and 25,936.45

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Solution

The third proportional to 11,930.26 and 25,936.45 is: 56,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.26 : 25,936.45 = 25,936.45 : x
  2. Step 2: Convert to fraction form
    11,930.26/25,936.45 = 25,936.45/x
  3. Step 3: Cross multiply
    11,930.26x = 25,936.45 × 25,936.45
  4. Step 4: Simplify right side
    11,930.26x = 672,699,600.71
  5. Step 5: Solve for x
    x = 672,699,600.71/11,930.26
  6. Step 6: Final answer
    x = 56,386.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.