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Finding the Third Proportional to 26,812.50 and 40,795

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Solution

The third proportional to 26,812.50 and 40,795 is: 62,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812.50 : 40,795 = 40,795 : x
  2. Step 2: Convert to fraction form
    26,812.50/40,795 = 40,795/x
  3. Step 3: Cross multiply
    26,812.50x = 40,795 × 40,795
  4. Step 4: Simplify right side
    26,812.50x = 1,664,232,025
  5. Step 5: Solve for x
    x = 1,664,232,025/26,812.50
  6. Step 6: Final answer
    x = 62,069.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.