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Finding the Third Proportional to 27,470 and 49,085

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Solution

The third proportional to 27,470 and 49,085 is: 87,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470 : 49,085 = 49,085 : x
  2. Step 2: Convert to fraction form
    27,470/49,085 = 49,085/x
  3. Step 3: Cross multiply
    27,470x = 49,085 × 49,085
  4. Step 4: Simplify right side
    27,470x = 2,409,337,225
  5. Step 5: Solve for x
    x = 2,409,337,225/27,470
  6. Step 6: Final answer
    x = 87,707.94

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.