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Finding the Third Proportional to 25,472 and 54,832

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Solution

The third proportional to 25,472 and 54,832 is: 118,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472 : 54,832 = 54,832 : x
  2. Step 2: Convert to fraction form
    25,472/54,832 = 54,832/x
  3. Step 3: Cross multiply
    25,472x = 54,832 × 54,832
  4. Step 4: Simplify right side
    25,472x = 3,006,548,224
  5. Step 5: Solve for x
    x = 3,006,548,224/25,472
  6. Step 6: Final answer
    x = 118,033.46

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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.