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Finding the Third Proportional to 19,100 and 27,508

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Solution

The third proportional to 19,100 and 27,508 is: 39,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100 : 27,508 = 27,508 : x
  2. Step 2: Convert to fraction form
    19,100/27,508 = 27,508/x
  3. Step 3: Cross multiply
    19,100x = 27,508 × 27,508
  4. Step 4: Simplify right side
    19,100x = 756,690,064
  5. Step 5: Solve for x
    x = 756,690,064/19,100
  6. Step 6: Final answer
    x = 39,617.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.