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Finding the Third Proportional to 11,397 and 24,852

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Solution

The third proportional to 11,397 and 24,852 is: 54,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 24,852 = 24,852 : x
  2. Step 2: Convert to fraction form
    11,397/24,852 = 24,852/x
  3. Step 3: Cross multiply
    11,397x = 24,852 × 24,852
  4. Step 4: Simplify right side
    11,397x = 617,621,904
  5. Step 5: Solve for x
    x = 617,621,904/11,397
  6. Step 6: Final answer
    x = 54,191.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.