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Finding the Third Proportional to 11,781 and 16,476.75

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Solution

The third proportional to 11,781 and 16,476.75 is: 23,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781 : 16,476.75 = 16,476.75 : x
  2. Step 2: Convert to fraction form
    11,781/16,476.75 = 16,476.75/x
  3. Step 3: Cross multiply
    11,781x = 16,476.75 × 16,476.75
  4. Step 4: Simplify right side
    11,781x = 271,483,290.56
  5. Step 5: Solve for x
    x = 271,483,290.56/11,781
  6. Step 6: Final answer
    x = 23,044.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.