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Finding the Third Proportional to 22,524 and 33,594

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Solution

The third proportional to 22,524 and 33,594 is: 50,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524 : 33,594 = 33,594 : x
  2. Step 2: Convert to fraction form
    22,524/33,594 = 33,594/x
  3. Step 3: Cross multiply
    22,524x = 33,594 × 33,594
  4. Step 4: Simplify right side
    22,524x = 1,128,556,836
  5. Step 5: Solve for x
    x = 1,128,556,836/22,524
  6. Step 6: Final answer
    x = 50,104.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.