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Finding the Third Proportional to 38,169 and 57,078

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Solution

The third proportional to 38,169 and 57,078 is: 85,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169 : 57,078 = 57,078 : x
  2. Step 2: Convert to fraction form
    38,169/57,078 = 57,078/x
  3. Step 3: Cross multiply
    38,169x = 57,078 × 57,078
  4. Step 4: Simplify right side
    38,169x = 3,257,898,084
  5. Step 5: Solve for x
    x = 3,257,898,084/38,169
  6. Step 6: Final answer
    x = 85,354.56

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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.