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Finding the Third Proportional to 7,079 and 10,916

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Solution

The third proportional to 7,079 and 10,916 is: 16,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079 : 10,916 = 10,916 : x
  2. Step 2: Convert to fraction form
    7,079/10,916 = 10,916/x
  3. Step 3: Cross multiply
    7,079x = 10,916 × 10,916
  4. Step 4: Simplify right side
    7,079x = 119,159,056
  5. Step 5: Solve for x
    x = 119,159,056/7,079
  6. Step 6: Final answer
    x = 16,832.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.