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Finding the Third Proportional to 21,341 and 45,841

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Solution

The third proportional to 21,341 and 45,841 is: 98,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341 : 45,841 = 45,841 : x
  2. Step 2: Convert to fraction form
    21,341/45,841 = 45,841/x
  3. Step 3: Cross multiply
    21,341x = 45,841 × 45,841
  4. Step 4: Simplify right side
    21,341x = 2,101,397,281
  5. Step 5: Solve for x
    x = 2,101,397,281/21,341
  6. Step 6: Final answer
    x = 98,467.61

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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.