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Finding the Third Proportional to 27,915 and 57,793

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Solution

The third proportional to 27,915 and 57,793 is: 119,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915 : 57,793 = 57,793 : x
  2. Step 2: Convert to fraction form
    27,915/57,793 = 57,793/x
  3. Step 3: Cross multiply
    27,915x = 57,793 × 57,793
  4. Step 4: Simplify right side
    27,915x = 3,340,030,849
  5. Step 5: Solve for x
    x = 3,340,030,849/27,915
  6. Step 6: Final answer
    x = 119,650.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.