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Finding the Third Proportional to 21,922 and 47,943

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Solution

The third proportional to 21,922 and 47,943 is: 104,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922 : 47,943 = 47,943 : x
  2. Step 2: Convert to fraction form
    21,922/47,943 = 47,943/x
  3. Step 3: Cross multiply
    21,922x = 47,943 × 47,943
  4. Step 4: Simplify right side
    21,922x = 2,298,531,249
  5. Step 5: Solve for x
    x = 2,298,531,249/21,922
  6. Step 6: Final answer
    x = 104,850.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.