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Finding the Third Proportional to 38,302 and 55,168

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Solution

The third proportional to 38,302 and 55,168 is: 79,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302 : 55,168 = 55,168 : x
  2. Step 2: Convert to fraction form
    38,302/55,168 = 55,168/x
  3. Step 3: Cross multiply
    38,302x = 55,168 × 55,168
  4. Step 4: Simplify right side
    38,302x = 3,043,508,224
  5. Step 5: Solve for x
    x = 3,043,508,224/38,302
  6. Step 6: Final answer
    x = 79,460.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.