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Finding the Third Proportional to 41,046 and 52,821

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Solution

The third proportional to 41,046 and 52,821 is: 67,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046 : 52,821 = 52,821 : x
  2. Step 2: Convert to fraction form
    41,046/52,821 = 52,821/x
  3. Step 3: Cross multiply
    41,046x = 52,821 × 52,821
  4. Step 4: Simplify right side
    41,046x = 2,790,058,041
  5. Step 5: Solve for x
    x = 2,790,058,041/41,046
  6. Step 6: Final answer
    x = 67,973.93

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.