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Finding the Third Proportional to 27,245.50 and 58,379

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Solution

The third proportional to 27,245.50 and 58,379 is: 125,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.50 : 58,379 = 58,379 : x
  2. Step 2: Convert to fraction form
    27,245.50/58,379 = 58,379/x
  3. Step 3: Cross multiply
    27,245.50x = 58,379 × 58,379
  4. Step 4: Simplify right side
    27,245.50x = 3,408,107,641
  5. Step 5: Solve for x
    x = 3,408,107,641/27,245.50
  6. Step 6: Final answer
    x = 125,088.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.