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Finding the Third Proportional to 26,217.75 and 56,809.50

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Solution

The third proportional to 26,217.75 and 56,809.50 is: 123,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,217.75 : 56,809.50 = 56,809.50 : x
  2. Step 2: Convert to fraction form
    26,217.75/56,809.50 = 56,809.50/x
  3. Step 3: Cross multiply
    26,217.75x = 56,809.50 × 56,809.50
  4. Step 4: Simplify right side
    26,217.75x = 3,227,319,290.25
  5. Step 5: Solve for x
    x = 3,227,319,290.25/26,217.75
  6. Step 6: Final answer
    x = 123,096.73

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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.