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Finding the Third Proportional to 13,698 and 19,382

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Solution

The third proportional to 13,698 and 19,382 is: 27,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 19,382 = 19,382 : x
  2. Step 2: Convert to fraction form
    13,698/19,382 = 19,382/x
  3. Step 3: Cross multiply
    13,698x = 19,382 × 19,382
  4. Step 4: Simplify right side
    13,698x = 375,661,924
  5. Step 5: Solve for x
    x = 375,661,924/13,698
  6. Step 6: Final answer
    x = 27,424.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.