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Finding the Third Proportional to 6,173 and 13,441

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Solution

The third proportional to 6,173 and 13,441 is: 29,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173 : 13,441 = 13,441 : x
  2. Step 2: Convert to fraction form
    6,173/13,441 = 13,441/x
  3. Step 3: Cross multiply
    6,173x = 13,441 × 13,441
  4. Step 4: Simplify right side
    6,173x = 180,660,481
  5. Step 5: Solve for x
    x = 180,660,481/6,173
  6. Step 6: Final answer
    x = 29,266.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.