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Finding the Third Proportional to 9,410 and 16,780

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Solution

The third proportional to 9,410 and 16,780 is: 29,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410 : 16,780 = 16,780 : x
  2. Step 2: Convert to fraction form
    9,410/16,780 = 16,780/x
  3. Step 3: Cross multiply
    9,410x = 16,780 × 16,780
  4. Step 4: Simplify right side
    9,410x = 281,568,400
  5. Step 5: Solve for x
    x = 281,568,400/9,410
  6. Step 6: Final answer
    x = 29,922.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.