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Finding the Third Proportional to 39,482 and 52,167

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Solution

The third proportional to 39,482 and 52,167 is: 68,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482 : 52,167 = 52,167 : x
  2. Step 2: Convert to fraction form
    39,482/52,167 = 52,167/x
  3. Step 3: Cross multiply
    39,482x = 52,167 × 52,167
  4. Step 4: Simplify right side
    39,482x = 2,721,395,889
  5. Step 5: Solve for x
    x = 2,721,395,889/39,482
  6. Step 6: Final answer
    x = 68,927.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.