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Finding the Third Proportional to 29,821 and 41,798

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Solution

The third proportional to 29,821 and 41,798 is: 58,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821 : 41,798 = 41,798 : x
  2. Step 2: Convert to fraction form
    29,821/41,798 = 41,798/x
  3. Step 3: Cross multiply
    29,821x = 41,798 × 41,798
  4. Step 4: Simplify right side
    29,821x = 1,747,072,804
  5. Step 5: Solve for x
    x = 1,747,072,804/29,821
  6. Step 6: Final answer
    x = 58,585.32

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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.