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Finding the Third Proportional to 5,178 and 7,941

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Solution

The third proportional to 5,178 and 7,941 is: 12,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 7,941 = 7,941 : x
  2. Step 2: Convert to fraction form
    5,178/7,941 = 7,941/x
  3. Step 3: Cross multiply
    5,178x = 7,941 × 7,941
  4. Step 4: Simplify right side
    5,178x = 63,059,481
  5. Step 5: Solve for x
    x = 63,059,481/5,178
  6. Step 6: Final answer
    x = 12,178.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.