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Finding the Third Proportional to 4,534 and 6,173

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Solution

The third proportional to 4,534 and 6,173 is: 8,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534 : 6,173 = 6,173 : x
  2. Step 2: Convert to fraction form
    4,534/6,173 = 6,173/x
  3. Step 3: Cross multiply
    4,534x = 6,173 × 6,173
  4. Step 4: Simplify right side
    4,534x = 38,105,929
  5. Step 5: Solve for x
    x = 38,105,929/4,534
  6. Step 6: Final answer
    x = 8,404.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.