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Finding the Third Proportional to 29,539.50 and 43,846.50

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Solution

The third proportional to 29,539.50 and 43,846.50 is: 65,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,539.50 : 43,846.50 = 43,846.50 : x
  2. Step 2: Convert to fraction form
    29,539.50/43,846.50 = 43,846.50/x
  3. Step 3: Cross multiply
    29,539.50x = 43,846.50 × 43,846.50
  4. Step 4: Simplify right side
    29,539.50x = 1,922,515,562.25
  5. Step 5: Solve for x
    x = 1,922,515,562.25/29,539.50
  6. Step 6: Final answer
    x = 65,082.87

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Why These Related Problems?

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