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Finding the Third Proportional to 21,706 and 33,337

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Solution

The third proportional to 21,706 and 33,337 is: 51,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706 : 33,337 = 33,337 : x
  2. Step 2: Convert to fraction form
    21,706/33,337 = 33,337/x
  3. Step 3: Cross multiply
    21,706x = 33,337 × 33,337
  4. Step 4: Simplify right side
    21,706x = 1,111,355,569
  5. Step 5: Solve for x
    x = 1,111,355,569/21,706
  6. Step 6: Final answer
    x = 51,200.39

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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.