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Finding the Third Proportional to 8,178 and 17,329

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Solution

The third proportional to 8,178 and 17,329 is: 36,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 17,329 = 17,329 : x
  2. Step 2: Convert to fraction form
    8,178/17,329 = 17,329/x
  3. Step 3: Cross multiply
    8,178x = 17,329 × 17,329
  4. Step 4: Simplify right side
    8,178x = 300,294,241
  5. Step 5: Solve for x
    x = 300,294,241/8,178
  6. Step 6: Final answer
    x = 36,719.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.