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Finding the Third Proportional to 7,834 and 12,174

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Solution

The third proportional to 7,834 and 12,174 is: 18,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 12,174 = 12,174 : x
  2. Step 2: Convert to fraction form
    7,834/12,174 = 12,174/x
  3. Step 3: Cross multiply
    7,834x = 12,174 × 12,174
  4. Step 4: Simplify right side
    7,834x = 148,206,276
  5. Step 5: Solve for x
    x = 148,206,276/7,834
  6. Step 6: Final answer
    x = 18,918.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.