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Finding the Third Proportional to 26,687.50 and 58,073

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Solution

The third proportional to 26,687.50 and 58,073 is: 126,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,687.50 : 58,073 = 58,073 : x
  2. Step 2: Convert to fraction form
    26,687.50/58,073 = 58,073/x
  3. Step 3: Cross multiply
    26,687.50x = 58,073 × 58,073
  4. Step 4: Simplify right side
    26,687.50x = 3,372,473,329
  5. Step 5: Solve for x
    x = 3,372,473,329/26,687.50
  6. Step 6: Final answer
    x = 126,369.02

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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.