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Finding the Third Proportional to 38,999 and 57,036

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Solution

The third proportional to 38,999 and 57,036 is: 83,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,999 : 57,036 = 57,036 : x
  2. Step 2: Convert to fraction form
    38,999/57,036 = 57,036/x
  3. Step 3: Cross multiply
    38,999x = 57,036 × 57,036
  4. Step 4: Simplify right side
    38,999x = 3,253,105,296
  5. Step 5: Solve for x
    x = 3,253,105,296/38,999
  6. Step 6: Final answer
    x = 83,415.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.