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Finding the Third Proportional to 25,822.50 and 54,744

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Solution

The third proportional to 25,822.50 and 54,744 is: 116,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.50 : 54,744 = 54,744 : x
  2. Step 2: Convert to fraction form
    25,822.50/54,744 = 54,744/x
  3. Step 3: Cross multiply
    25,822.50x = 54,744 × 54,744
  4. Step 4: Simplify right side
    25,822.50x = 2,996,905,536
  5. Step 5: Solve for x
    x = 2,996,905,536/25,822.50
  6. Step 6: Final answer
    x = 116,057.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.