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Finding the Third Proportional to 24,813 and 54,001

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Solution

The third proportional to 24,813 and 54,001 is: 117,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813 : 54,001 = 54,001 : x
  2. Step 2: Convert to fraction form
    24,813/54,001 = 54,001/x
  3. Step 3: Cross multiply
    24,813x = 54,001 × 54,001
  4. Step 4: Simplify right side
    24,813x = 2,916,108,001
  5. Step 5: Solve for x
    x = 2,916,108,001/24,813
  6. Step 6: Final answer
    x = 117,523.40

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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.