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Finding the Third Proportional to 27,596.50 and 58,869

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Solution

The third proportional to 27,596.50 and 58,869 is: 125,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.50 : 58,869 = 58,869 : x
  2. Step 2: Convert to fraction form
    27,596.50/58,869 = 58,869/x
  3. Step 3: Cross multiply
    27,596.50x = 58,869 × 58,869
  4. Step 4: Simplify right side
    27,596.50x = 3,465,559,161
  5. Step 5: Solve for x
    x = 3,465,559,161/27,596.50
  6. Step 6: Final answer
    x = 125,579.66

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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.