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Finding the Third Proportional to 8,200 and 17,740

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Solution

The third proportional to 8,200 and 17,740 is: 38,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 17,740 = 17,740 : x
  2. Step 2: Convert to fraction form
    8,200/17,740 = 17,740/x
  3. Step 3: Cross multiply
    8,200x = 17,740 × 17,740
  4. Step 4: Simplify right side
    8,200x = 314,707,600
  5. Step 5: Solve for x
    x = 314,707,600/8,200
  6. Step 6: Final answer
    x = 38,378.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.