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Finding the Third Proportional to 19,348 and 41,224

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Solution

The third proportional to 19,348 and 41,224 is: 87,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348 : 41,224 = 41,224 : x
  2. Step 2: Convert to fraction form
    19,348/41,224 = 41,224/x
  3. Step 3: Cross multiply
    19,348x = 41,224 × 41,224
  4. Step 4: Simplify right side
    19,348x = 1,699,418,176
  5. Step 5: Solve for x
    x = 1,699,418,176/19,348
  6. Step 6: Final answer
    x = 87,834.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.