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Finding the Third Proportional to 27,896 and 39,106

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Solution

The third proportional to 27,896 and 39,106 is: 54,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896 : 39,106 = 39,106 : x
  2. Step 2: Convert to fraction form
    27,896/39,106 = 39,106/x
  3. Step 3: Cross multiply
    27,896x = 39,106 × 39,106
  4. Step 4: Simplify right side
    27,896x = 1,529,279,236
  5. Step 5: Solve for x
    x = 1,529,279,236/27,896
  6. Step 6: Final answer
    x = 54,820.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.