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Finding the Third Proportional to 27,050 and 58,124

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Solution

The third proportional to 27,050 and 58,124 is: 124,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050 : 58,124 = 58,124 : x
  2. Step 2: Convert to fraction form
    27,050/58,124 = 58,124/x
  3. Step 3: Cross multiply
    27,050x = 58,124 × 58,124
  4. Step 4: Simplify right side
    27,050x = 3,378,399,376
  5. Step 5: Solve for x
    x = 3,378,399,376/27,050
  6. Step 6: Final answer
    x = 124,894.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.