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Finding the Third Proportional to 18,780 and 40,502

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Solution

The third proportional to 18,780 and 40,502 is: 87,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780 : 40,502 = 40,502 : x
  2. Step 2: Convert to fraction form
    18,780/40,502 = 40,502/x
  3. Step 3: Cross multiply
    18,780x = 40,502 × 40,502
  4. Step 4: Simplify right side
    18,780x = 1,640,412,004
  5. Step 5: Solve for x
    x = 1,640,412,004/18,780
  6. Step 6: Final answer
    x = 87,348.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.