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Finding the Third Proportional to 27,928 and 58,610

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Solution

The third proportional to 27,928 and 58,610 is: 122,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928 : 58,610 = 58,610 : x
  2. Step 2: Convert to fraction form
    27,928/58,610 = 58,610/x
  3. Step 3: Cross multiply
    27,928x = 58,610 × 58,610
  4. Step 4: Simplify right side
    27,928x = 3,435,132,100
  5. Step 5: Solve for x
    x = 3,435,132,100/27,928
  6. Step 6: Final answer
    x = 122,999.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.