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Finding the Third Proportional to 26,784 and 57,123

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Solution

The third proportional to 26,784 and 57,123 is: 121,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 57,123 = 57,123 : x
  2. Step 2: Convert to fraction form
    26,784/57,123 = 57,123/x
  3. Step 3: Cross multiply
    26,784x = 57,123 × 57,123
  4. Step 4: Simplify right side
    26,784x = 3,263,037,129
  5. Step 5: Solve for x
    x = 3,263,037,129/26,784
  6. Step 6: Final answer
    x = 121,827.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.