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Finding the Third Proportional to 11,781.07 and 25,407.42

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Solution

The third proportional to 11,781.07 and 25,407.42 is: 54,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.07 : 25,407.42 = 25,407.42 : x
  2. Step 2: Convert to fraction form
    11,781.07/25,407.42 = 25,407.42/x
  3. Step 3: Cross multiply
    11,781.07x = 25,407.42 × 25,407.42
  4. Step 4: Simplify right side
    11,781.07x = 645,537,086.33
  5. Step 5: Solve for x
    x = 645,537,086.33/11,781.07
  6. Step 6: Final answer
    x = 54,794.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.