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Finding the Third Proportional to 38,296 and 54,461

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Solution

The third proportional to 38,296 and 54,461 is: 77,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296 : 54,461 = 54,461 : x
  2. Step 2: Convert to fraction form
    38,296/54,461 = 54,461/x
  3. Step 3: Cross multiply
    38,296x = 54,461 × 54,461
  4. Step 4: Simplify right side
    38,296x = 2,966,000,521
  5. Step 5: Solve for x
    x = 2,966,000,521/38,296
  6. Step 6: Final answer
    x = 77,449.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.