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Finding the Third Proportional to 14,848 and 32,004

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Solution

The third proportional to 14,848 and 32,004 is: 68,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848 : 32,004 = 32,004 : x
  2. Step 2: Convert to fraction form
    14,848/32,004 = 32,004/x
  3. Step 3: Cross multiply
    14,848x = 32,004 × 32,004
  4. Step 4: Simplify right side
    14,848x = 1,024,256,016
  5. Step 5: Solve for x
    x = 1,024,256,016/14,848
  6. Step 6: Final answer
    x = 68,982.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.