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Finding the Third Proportional to 29,770 and 41,009

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Solution

The third proportional to 29,770 and 41,009 is: 56,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770 : 41,009 = 41,009 : x
  2. Step 2: Convert to fraction form
    29,770/41,009 = 41,009/x
  3. Step 3: Cross multiply
    29,770x = 41,009 × 41,009
  4. Step 4: Simplify right side
    29,770x = 1,681,738,081
  5. Step 5: Solve for x
    x = 1,681,738,081/29,770
  6. Step 6: Final answer
    x = 56,491.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.