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Finding the Third Proportional to 3,580 and 8,120

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Solution

The third proportional to 3,580 and 8,120 is: 18,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 8,120 = 8,120 : x
  2. Step 2: Convert to fraction form
    3,580/8,120 = 8,120/x
  3. Step 3: Cross multiply
    3,580x = 8,120 × 8,120
  4. Step 4: Simplify right side
    3,580x = 65,934,400
  5. Step 5: Solve for x
    x = 65,934,400/3,580
  6. Step 6: Final answer
    x = 18,417.43

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.