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Finding the Third Proportional to 11,780 and 16,574

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Solution

The third proportional to 11,780 and 16,574 is: 23,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 16,574 = 16,574 : x
  2. Step 2: Convert to fraction form
    11,780/16,574 = 16,574/x
  3. Step 3: Cross multiply
    11,780x = 16,574 × 16,574
  4. Step 4: Simplify right side
    11,780x = 274,697,476
  5. Step 5: Solve for x
    x = 274,697,476/11,780
  6. Step 6: Final answer
    x = 23,318.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.