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Finding the Third Proportional to 27,108.50 and 58,742

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Solution

The third proportional to 27,108.50 and 58,742 is: 127,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108.50 : 58,742 = 58,742 : x
  2. Step 2: Convert to fraction form
    27,108.50/58,742 = 58,742/x
  3. Step 3: Cross multiply
    27,108.50x = 58,742 × 58,742
  4. Step 4: Simplify right side
    27,108.50x = 3,450,622,564
  5. Step 5: Solve for x
    x = 3,450,622,564/27,108.50
  6. Step 6: Final answer
    x = 127,289.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.