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Finding the Third Proportional to 26,142.75 and 56,475.56

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Solution

The third proportional to 26,142.75 and 56,475.56 is: 122,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.75 : 56,475.56 = 56,475.56 : x
  2. Step 2: Convert to fraction form
    26,142.75/56,475.56 = 56,475.56/x
  3. Step 3: Cross multiply
    26,142.75x = 56,475.56 × 56,475.56
  4. Step 4: Simplify right side
    26,142.75x = 3,189,489,159.69
  5. Step 5: Solve for x
    x = 3,189,489,159.69/26,142.75
  6. Step 6: Final answer
    x = 122,002.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.