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Finding the Third Proportional to 38,592 and 51,458

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Solution

The third proportional to 38,592 and 51,458 is: 68,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,592 : 51,458 = 51,458 : x
  2. Step 2: Convert to fraction form
    38,592/51,458 = 51,458/x
  3. Step 3: Cross multiply
    38,592x = 51,458 × 51,458
  4. Step 4: Simplify right side
    38,592x = 2,647,925,764
  5. Step 5: Solve for x
    x = 2,647,925,764/38,592
  6. Step 6: Final answer
    x = 68,613.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.