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Finding the Third Proportional to 17,838 and 38,441

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Solution

The third proportional to 17,838 and 38,441 is: 82,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838 : 38,441 = 38,441 : x
  2. Step 2: Convert to fraction form
    17,838/38,441 = 38,441/x
  3. Step 3: Cross multiply
    17,838x = 38,441 × 38,441
  4. Step 4: Simplify right side
    17,838x = 1,477,710,481
  5. Step 5: Solve for x
    x = 1,477,710,481/17,838
  6. Step 6: Final answer
    x = 82,840.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.