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Finding the Third Proportional to 26,197 and 57,037

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Solution

The third proportional to 26,197 and 57,037 is: 124,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,197 : 57,037 = 57,037 : x
  2. Step 2: Convert to fraction form
    26,197/57,037 = 57,037/x
  3. Step 3: Cross multiply
    26,197x = 57,037 × 57,037
  4. Step 4: Simplify right side
    26,197x = 3,253,219,369
  5. Step 5: Solve for x
    x = 3,253,219,369/26,197
  6. Step 6: Final answer
    x = 124,182.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.