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Finding the Third Proportional to 14,848 and 32,672

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Solution

The third proportional to 14,848 and 32,672 is: 71,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848 : 32,672 = 32,672 : x
  2. Step 2: Convert to fraction form
    14,848/32,672 = 32,672/x
  3. Step 3: Cross multiply
    14,848x = 32,672 × 32,672
  4. Step 4: Simplify right side
    14,848x = 1,067,459,584
  5. Step 5: Solve for x
    x = 1,067,459,584/14,848
  6. Step 6: Final answer
    x = 71,892.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.