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Finding the Third Proportional to 19,513 and 27,884

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Solution

The third proportional to 19,513 and 27,884 is: 39,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513 : 27,884 = 27,884 : x
  2. Step 2: Convert to fraction form
    19,513/27,884 = 27,884/x
  3. Step 3: Cross multiply
    19,513x = 27,884 × 27,884
  4. Step 4: Simplify right side
    19,513x = 777,517,456
  5. Step 5: Solve for x
    x = 777,517,456/19,513
  6. Step 6: Final answer
    x = 39,846.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.