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Finding the Third Proportional to 6,980 and 16,484

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Solution

The third proportional to 6,980 and 16,484 is: 38,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 16,484 = 16,484 : x
  2. Step 2: Convert to fraction form
    6,980/16,484 = 16,484/x
  3. Step 3: Cross multiply
    6,980x = 16,484 × 16,484
  4. Step 4: Simplify right side
    6,980x = 271,722,256
  5. Step 5: Solve for x
    x = 271,722,256/6,980
  6. Step 6: Final answer
    x = 38,928.69

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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.