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Finding the Third Proportional to 38,286 and 57,468

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Solution

The third proportional to 38,286 and 57,468 is: 86,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 57,468 = 57,468 : x
  2. Step 2: Convert to fraction form
    38,286/57,468 = 57,468/x
  3. Step 3: Cross multiply
    38,286x = 57,468 × 57,468
  4. Step 4: Simplify right side
    38,286x = 3,302,571,024
  5. Step 5: Solve for x
    x = 3,302,571,024/38,286
  6. Step 6: Final answer
    x = 86,260.54

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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.