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Finding the Third Proportional to 26,040.75 and 56,037

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Solution

The third proportional to 26,040.75 and 56,037 is: 120,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,040.75 : 56,037 = 56,037 : x
  2. Step 2: Convert to fraction form
    26,040.75/56,037 = 56,037/x
  3. Step 3: Cross multiply
    26,040.75x = 56,037 × 56,037
  4. Step 4: Simplify right side
    26,040.75x = 3,140,145,369
  5. Step 5: Solve for x
    x = 3,140,145,369/26,040.75
  6. Step 6: Final answer
    x = 120,585.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.