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Finding the Third Proportional to 17,737 and 33,422

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Solution

The third proportional to 17,737 and 33,422 is: 62,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737 : 33,422 = 33,422 : x
  2. Step 2: Convert to fraction form
    17,737/33,422 = 33,422/x
  3. Step 3: Cross multiply
    17,737x = 33,422 × 33,422
  4. Step 4: Simplify right side
    17,737x = 1,117,030,084
  5. Step 5: Solve for x
    x = 1,117,030,084/17,737
  6. Step 6: Final answer
    x = 62,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.