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Finding the Third Proportional to 20,461.36 and 27,629.86

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Solution

The third proportional to 20,461.36 and 27,629.86 is: 37,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.36 : 27,629.86 = 27,629.86 : x
  2. Step 2: Convert to fraction form
    20,461.36/27,629.86 = 27,629.86/x
  3. Step 3: Cross multiply
    20,461.36x = 27,629.86 × 27,629.86
  4. Step 4: Simplify right side
    20,461.36x = 763,409,129.08
  5. Step 5: Solve for x
    x = 763,409,129.08/20,461.36
  6. Step 6: Final answer
    x = 37,309.80

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.