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Finding the Third Proportional to 26,232.75 and 56,205.75

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Solution

The third proportional to 26,232.75 and 56,205.75 is: 120,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232.75 : 56,205.75 = 56,205.75 : x
  2. Step 2: Convert to fraction form
    26,232.75/56,205.75 = 56,205.75/x
  3. Step 3: Cross multiply
    26,232.75x = 56,205.75 × 56,205.75
  4. Step 4: Simplify right side
    26,232.75x = 3,159,086,333.06
  5. Step 5: Solve for x
    x = 3,159,086,333.06/26,232.75
  6. Step 6: Final answer
    x = 120,425.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.