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Finding the Third Proportional to 18,204 and 28,946

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Solution

The third proportional to 18,204 and 28,946 is: 46,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204 : 28,946 = 28,946 : x
  2. Step 2: Convert to fraction form
    18,204/28,946 = 28,946/x
  3. Step 3: Cross multiply
    18,204x = 28,946 × 28,946
  4. Step 4: Simplify right side
    18,204x = 837,870,916
  5. Step 5: Solve for x
    x = 837,870,916/18,204
  6. Step 6: Final answer
    x = 46,026.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.