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Finding the Third Proportional to 16,870 and 27,280

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Solution

The third proportional to 16,870 and 27,280 is: 44,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870 : 27,280 = 27,280 : x
  2. Step 2: Convert to fraction form
    16,870/27,280 = 27,280/x
  3. Step 3: Cross multiply
    16,870x = 27,280 × 27,280
  4. Step 4: Simplify right side
    16,870x = 744,198,400
  5. Step 5: Solve for x
    x = 744,198,400/16,870
  6. Step 6: Final answer
    x = 44,113.72

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.