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Finding the Third Proportional to 22,549.50 and 51,002

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Solution

The third proportional to 22,549.50 and 51,002 is: 115,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.50 : 51,002 = 51,002 : x
  2. Step 2: Convert to fraction form
    22,549.50/51,002 = 51,002/x
  3. Step 3: Cross multiply
    22,549.50x = 51,002 × 51,002
  4. Step 4: Simplify right side
    22,549.50x = 2,601,204,004
  5. Step 5: Solve for x
    x = 2,601,204,004/22,549.50
  6. Step 6: Final answer
    x = 115,355.29

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.