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Finding the Third Proportional to 3,486 and 7,480

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Solution

The third proportional to 3,486 and 7,480 is: 16,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 7,480 = 7,480 : x
  2. Step 2: Convert to fraction form
    3,486/7,480 = 7,480/x
  3. Step 3: Cross multiply
    3,486x = 7,480 × 7,480
  4. Step 4: Simplify right side
    3,486x = 55,950,400
  5. Step 5: Solve for x
    x = 55,950,400/3,486
  6. Step 6: Final answer
    x = 16,050.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.