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Finding the Third Proportional to 17,690 and 37,300

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Solution

The third proportional to 17,690 and 37,300 is: 78,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690 : 37,300 = 37,300 : x
  2. Step 2: Convert to fraction form
    17,690/37,300 = 37,300/x
  3. Step 3: Cross multiply
    17,690x = 37,300 × 37,300
  4. Step 4: Simplify right side
    17,690x = 1,391,290,000
  5. Step 5: Solve for x
    x = 1,391,290,000/17,690
  6. Step 6: Final answer
    x = 78,648.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.