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Finding the Third Proportional to 36,468 and 57,672

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Solution

The third proportional to 36,468 and 57,672 is: 91,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 57,672 = 57,672 : x
  2. Step 2: Convert to fraction form
    36,468/57,672 = 57,672/x
  3. Step 3: Cross multiply
    36,468x = 57,672 × 57,672
  4. Step 4: Simplify right side
    36,468x = 3,326,059,584
  5. Step 5: Solve for x
    x = 3,326,059,584/36,468
  6. Step 6: Final answer
    x = 91,204.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.