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Finding the Third Proportional to 38,392 and 51,036

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Solution

The third proportional to 38,392 and 51,036 is: 67,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,392 : 51,036 = 51,036 : x
  2. Step 2: Convert to fraction form
    38,392/51,036 = 51,036/x
  3. Step 3: Cross multiply
    38,392x = 51,036 × 51,036
  4. Step 4: Simplify right side
    38,392x = 2,604,673,296
  5. Step 5: Solve for x
    x = 2,604,673,296/38,392
  6. Step 6: Final answer
    x = 67,844.17

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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.