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Finding the Third Proportional to 14,912 and 32,848

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Solution

The third proportional to 14,912 and 32,848 is: 72,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912 : 32,848 = 32,848 : x
  2. Step 2: Convert to fraction form
    14,912/32,848 = 32,848/x
  3. Step 3: Cross multiply
    14,912x = 32,848 × 32,848
  4. Step 4: Simplify right side
    14,912x = 1,078,991,104
  5. Step 5: Solve for x
    x = 1,078,991,104/14,912
  6. Step 6: Final answer
    x = 72,357.24

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Why These Related Problems?

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