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Finding the Third Proportional to 8,541 and 19,287

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Solution

The third proportional to 8,541 and 19,287 is: 43,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541 : 19,287 = 19,287 : x
  2. Step 2: Convert to fraction form
    8,541/19,287 = 19,287/x
  3. Step 3: Cross multiply
    8,541x = 19,287 × 19,287
  4. Step 4: Simplify right side
    8,541x = 371,988,369
  5. Step 5: Solve for x
    x = 371,988,369/8,541
  6. Step 6: Final answer
    x = 43,553.26

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.