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Finding the Third Proportional to 24,996.50 and 54,002

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Solution

The third proportional to 24,996.50 and 54,002 is: 116,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,996.50 : 54,002 = 54,002 : x
  2. Step 2: Convert to fraction form
    24,996.50/54,002 = 54,002/x
  3. Step 3: Cross multiply
    24,996.50x = 54,002 × 54,002
  4. Step 4: Simplify right side
    24,996.50x = 2,916,216,004
  5. Step 5: Solve for x
    x = 2,916,216,004/24,996.50
  6. Step 6: Final answer
    x = 116,664.97

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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.