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Finding the Third Proportional to 6,178 and 13,279

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Solution

The third proportional to 6,178 and 13,279 is: 28,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 13,279 = 13,279 : x
  2. Step 2: Convert to fraction form
    6,178/13,279 = 13,279/x
  3. Step 3: Cross multiply
    6,178x = 13,279 × 13,279
  4. Step 4: Simplify right side
    6,178x = 176,331,841
  5. Step 5: Solve for x
    x = 176,331,841/6,178
  6. Step 6: Final answer
    x = 28,541.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.