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Finding the Third Proportional to 3,464 and 8,159

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Solution

The third proportional to 3,464 and 8,159 is: 19,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464 : 8,159 = 8,159 : x
  2. Step 2: Convert to fraction form
    3,464/8,159 = 8,159/x
  3. Step 3: Cross multiply
    3,464x = 8,159 × 8,159
  4. Step 4: Simplify right side
    3,464x = 66,569,281
  5. Step 5: Solve for x
    x = 66,569,281/3,464
  6. Step 6: Final answer
    x = 19,217.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.