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Finding the Third Proportional to 29,770 and 41,623

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Solution

The third proportional to 29,770 and 41,623 is: 58,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770 : 41,623 = 41,623 : x
  2. Step 2: Convert to fraction form
    29,770/41,623 = 41,623/x
  3. Step 3: Cross multiply
    29,770x = 41,623 × 41,623
  4. Step 4: Simplify right side
    29,770x = 1,732,474,129
  5. Step 5: Solve for x
    x = 1,732,474,129/29,770
  6. Step 6: Final answer
    x = 58,195.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.