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Finding the Third Proportional to 26,257.50 and 56,945.25

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Solution

The third proportional to 26,257.50 and 56,945.25 is: 123,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.50 : 56,945.25 = 56,945.25 : x
  2. Step 2: Convert to fraction form
    26,257.50/56,945.25 = 56,945.25/x
  3. Step 3: Cross multiply
    26,257.50x = 56,945.25 × 56,945.25
  4. Step 4: Simplify right side
    26,257.50x = 3,242,761,497.56
  5. Step 5: Solve for x
    x = 3,242,761,497.56/26,257.50
  6. Step 6: Final answer
    x = 123,498.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.