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Finding the Third Proportional to 4,157 and 8,464

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Solution

The third proportional to 4,157 and 8,464 is: 17,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157 : 8,464 = 8,464 : x
  2. Step 2: Convert to fraction form
    4,157/8,464 = 8,464/x
  3. Step 3: Cross multiply
    4,157x = 8,464 × 8,464
  4. Step 4: Simplify right side
    4,157x = 71,639,296
  5. Step 5: Solve for x
    x = 71,639,296/4,157
  6. Step 6: Final answer
    x = 17,233.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.