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Finding the Third Proportional to 26,469 and 58,123.50

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Solution

The third proportional to 26,469 and 58,123.50 is: 127,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469 : 58,123.50 = 58,123.50 : x
  2. Step 2: Convert to fraction form
    26,469/58,123.50 = 58,123.50/x
  3. Step 3: Cross multiply
    26,469x = 58,123.50 × 58,123.50
  4. Step 4: Simplify right side
    26,469x = 3,378,341,252.25
  5. Step 5: Solve for x
    x = 3,378,341,252.25/26,469
  6. Step 6: Final answer
    x = 127,633.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.