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Finding the Third Proportional to 21,922 and 33,430

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Solution

The third proportional to 21,922 and 33,430 is: 50,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922 : 33,430 = 33,430 : x
  2. Step 2: Convert to fraction form
    21,922/33,430 = 33,430/x
  3. Step 3: Cross multiply
    21,922x = 33,430 × 33,430
  4. Step 4: Simplify right side
    21,922x = 1,117,564,900
  5. Step 5: Solve for x
    x = 1,117,564,900/21,922
  6. Step 6: Final answer
    x = 50,979.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.