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Finding the Third Proportional to 25,453.50 and 54,674

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Solution

The third proportional to 25,453.50 and 54,674 is: 117,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,453.50 : 54,674 = 54,674 : x
  2. Step 2: Convert to fraction form
    25,453.50/54,674 = 54,674/x
  3. Step 3: Cross multiply
    25,453.50x = 54,674 × 54,674
  4. Step 4: Simplify right side
    25,453.50x = 2,989,246,276
  5. Step 5: Solve for x
    x = 2,989,246,276/25,453.50
  6. Step 6: Final answer
    x = 117,439.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.