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Finding the Third Proportional to 8,424 and 13,852

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Solution

The third proportional to 8,424 and 13,852 is: 22,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 13,852 = 13,852 : x
  2. Step 2: Convert to fraction form
    8,424/13,852 = 13,852/x
  3. Step 3: Cross multiply
    8,424x = 13,852 × 13,852
  4. Step 4: Simplify right side
    8,424x = 191,877,904
  5. Step 5: Solve for x
    x = 191,877,904/8,424
  6. Step 6: Final answer
    x = 22,777.53

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.