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Finding the Third Proportional to 29,938.50 and 41,626.69

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Solution

The third proportional to 29,938.50 and 41,626.69 is: 57,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.50 : 41,626.69 = 41,626.69 : x
  2. Step 2: Convert to fraction form
    29,938.50/41,626.69 = 41,626.69/x
  3. Step 3: Cross multiply
    29,938.50x = 41,626.69 × 41,626.69
  4. Step 4: Simplify right side
    29,938.50x = 1,732,781,112.22
  5. Step 5: Solve for x
    x = 1,732,781,112.22/29,938.50
  6. Step 6: Final answer
    x = 57,878.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.