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Finding the Third Proportional to 21,636.49 and 33,212.21

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Solution

The third proportional to 21,636.49 and 33,212.21 is: 50,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636.49 : 33,212.21 = 33,212.21 : x
  2. Step 2: Convert to fraction form
    21,636.49/33,212.21 = 33,212.21/x
  3. Step 3: Cross multiply
    21,636.49x = 33,212.21 × 33,212.21
  4. Step 4: Simplify right side
    21,636.49x = 1,103,051,214.83
  5. Step 5: Solve for x
    x = 1,103,051,214.83/21,636.49
  6. Step 6: Final answer
    x = 50,981.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.