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Finding the Third Proportional to 11,841.35 and 25,323.89

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Solution

The third proportional to 11,841.35 and 25,323.89 is: 54,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.35 : 25,323.89 = 25,323.89 : x
  2. Step 2: Convert to fraction form
    11,841.35/25,323.89 = 25,323.89/x
  3. Step 3: Cross multiply
    11,841.35x = 25,323.89 × 25,323.89
  4. Step 4: Simplify right side
    11,841.35x = 641,299,436.39
  5. Step 5: Solve for x
    x = 641,299,436.39/11,841.35
  6. Step 6: Final answer
    x = 54,157.65

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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.