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Finding the Third Proportional to 9,852 and 14,608

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Solution

The third proportional to 9,852 and 14,608 is: 21,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 14,608 = 14,608 : x
  2. Step 2: Convert to fraction form
    9,852/14,608 = 14,608/x
  3. Step 3: Cross multiply
    9,852x = 14,608 × 14,608
  4. Step 4: Simplify right side
    9,852x = 213,393,664
  5. Step 5: Solve for x
    x = 213,393,664/9,852
  6. Step 6: Final answer
    x = 21,659.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.