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Finding the Third Proportional to 21,311 and 45,694

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Solution

The third proportional to 21,311 and 45,694 is: 97,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311 : 45,694 = 45,694 : x
  2. Step 2: Convert to fraction form
    21,311/45,694 = 45,694/x
  3. Step 3: Cross multiply
    21,311x = 45,694 × 45,694
  4. Step 4: Simplify right side
    21,311x = 2,087,941,636
  5. Step 5: Solve for x
    x = 2,087,941,636/21,311
  6. Step 6: Final answer
    x = 97,974.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.