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Finding the Third Proportional to 41,593 and 58,210.50

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Solution

The third proportional to 41,593 and 58,210.50 is: 81,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,593 : 58,210.50 = 58,210.50 : x
  2. Step 2: Convert to fraction form
    41,593/58,210.50 = 58,210.50/x
  3. Step 3: Cross multiply
    41,593x = 58,210.50 × 58,210.50
  4. Step 4: Simplify right side
    41,593x = 3,388,462,310.25
  5. Step 5: Solve for x
    x = 3,388,462,310.25/41,593
  6. Step 6: Final answer
    x = 81,467.13

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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.