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Finding the Third Proportional to 41,899.50 and 58,609

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Solution

The third proportional to 41,899.50 and 58,609 is: 81,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,899.50 : 58,609 = 58,609 : x
  2. Step 2: Convert to fraction form
    41,899.50/58,609 = 58,609/x
  3. Step 3: Cross multiply
    41,899.50x = 58,609 × 58,609
  4. Step 4: Simplify right side
    41,899.50x = 3,435,014,881
  5. Step 5: Solve for x
    x = 3,435,014,881/41,899.50
  6. Step 6: Final answer
    x = 81,982.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.