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Finding the Third Proportional to 8,100 and 18,770

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Solution

The third proportional to 8,100 and 18,770 is: 43,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 18,770 = 18,770 : x
  2. Step 2: Convert to fraction form
    8,100/18,770 = 18,770/x
  3. Step 3: Cross multiply
    8,100x = 18,770 × 18,770
  4. Step 4: Simplify right side
    8,100x = 352,312,900
  5. Step 5: Solve for x
    x = 352,312,900/8,100
  6. Step 6: Final answer
    x = 43,495.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.