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Finding the Third Proportional to 29,594 and 43,940.50

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Solution

The third proportional to 29,594 and 43,940.50 is: 65,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594 : 43,940.50 = 43,940.50 : x
  2. Step 2: Convert to fraction form
    29,594/43,940.50 = 43,940.50/x
  3. Step 3: Cross multiply
    29,594x = 43,940.50 × 43,940.50
  4. Step 4: Simplify right side
    29,594x = 1,930,767,540.25
  5. Step 5: Solve for x
    x = 1,930,767,540.25/29,594
  6. Step 6: Final answer
    x = 65,241.86

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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.