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Finding the Third Proportional to 29,541 and 43,847

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Solution

The third proportional to 29,541 and 43,847 is: 65,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541 : 43,847 = 43,847 : x
  2. Step 2: Convert to fraction form
    29,541/43,847 = 43,847/x
  3. Step 3: Cross multiply
    29,541x = 43,847 × 43,847
  4. Step 4: Simplify right side
    29,541x = 1,922,559,409
  5. Step 5: Solve for x
    x = 1,922,559,409/29,541
  6. Step 6: Final answer
    x = 65,081.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.