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Finding the Third Proportional to 38,034 and 57,168

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Solution

The third proportional to 38,034 and 57,168 is: 85,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 57,168 = 57,168 : x
  2. Step 2: Convert to fraction form
    38,034/57,168 = 57,168/x
  3. Step 3: Cross multiply
    38,034x = 57,168 × 57,168
  4. Step 4: Simplify right side
    38,034x = 3,268,180,224
  5. Step 5: Solve for x
    x = 3,268,180,224/38,034
  6. Step 6: Final answer
    x = 85,927.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.