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Finding the Third Proportional to 39,364 and 54,902

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Solution

The third proportional to 39,364 and 54,902 is: 76,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,364 : 54,902 = 54,902 : x
  2. Step 2: Convert to fraction form
    39,364/54,902 = 54,902/x
  3. Step 3: Cross multiply
    39,364x = 54,902 × 54,902
  4. Step 4: Simplify right side
    39,364x = 3,014,229,604
  5. Step 5: Solve for x
    x = 3,014,229,604/39,364
  6. Step 6: Final answer
    x = 76,573.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.