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Finding the Third Proportional to 2,219 and 3,486

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Solution

The third proportional to 2,219 and 3,486 is: 5,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219 : 3,486 = 3,486 : x
  2. Step 2: Convert to fraction form
    2,219/3,486 = 3,486/x
  3. Step 3: Cross multiply
    2,219x = 3,486 × 3,486
  4. Step 4: Simplify right side
    2,219x = 12,152,196
  5. Step 5: Solve for x
    x = 12,152,196/2,219
  6. Step 6: Final answer
    x = 5,476.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.