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Finding the Third Proportional to 26,410.50 and 58,005

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Solution

The third proportional to 26,410.50 and 58,005 is: 127,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410.50 : 58,005 = 58,005 : x
  2. Step 2: Convert to fraction form
    26,410.50/58,005 = 58,005/x
  3. Step 3: Cross multiply
    26,410.50x = 58,005 × 58,005
  4. Step 4: Simplify right side
    26,410.50x = 3,364,580,025
  5. Step 5: Solve for x
    x = 3,364,580,025/26,410.50
  6. Step 6: Final answer
    x = 127,395.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.