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Finding the Third Proportional to 13,172 and 19,838

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Solution

The third proportional to 13,172 and 19,838 is: 29,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172 : 19,838 = 19,838 : x
  2. Step 2: Convert to fraction form
    13,172/19,838 = 19,838/x
  3. Step 3: Cross multiply
    13,172x = 19,838 × 19,838
  4. Step 4: Simplify right side
    13,172x = 393,546,244
  5. Step 5: Solve for x
    x = 393,546,244/13,172
  6. Step 6: Final answer
    x = 29,877.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.