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Finding the Third Proportional to 26,652 and 58,669.50

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Solution

The third proportional to 26,652 and 58,669.50 is: 129,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,652 : 58,669.50 = 58,669.50 : x
  2. Step 2: Convert to fraction form
    26,652/58,669.50 = 58,669.50/x
  3. Step 3: Cross multiply
    26,652x = 58,669.50 × 58,669.50
  4. Step 4: Simplify right side
    26,652x = 3,442,110,230.25
  5. Step 5: Solve for x
    x = 3,442,110,230.25/26,652
  6. Step 6: Final answer
    x = 129,150.17

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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.