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Finding the Third Proportional to 19,213 and 41,341

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Solution

The third proportional to 19,213 and 41,341 is: 88,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213 : 41,341 = 41,341 : x
  2. Step 2: Convert to fraction form
    19,213/41,341 = 41,341/x
  3. Step 3: Cross multiply
    19,213x = 41,341 × 41,341
  4. Step 4: Simplify right side
    19,213x = 1,709,078,281
  5. Step 5: Solve for x
    x = 1,709,078,281/19,213
  6. Step 6: Final answer
    x = 88,954.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.