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Finding the Third Proportional to 7,916 and 18,682

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Solution

The third proportional to 7,916 and 18,682 is: 44,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916 : 18,682 = 18,682 : x
  2. Step 2: Convert to fraction form
    7,916/18,682 = 18,682/x
  3. Step 3: Cross multiply
    7,916x = 18,682 × 18,682
  4. Step 4: Simplify right side
    7,916x = 349,017,124
  5. Step 5: Solve for x
    x = 349,017,124/7,916
  6. Step 6: Final answer
    x = 44,090.09

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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.