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Finding the Third Proportional to 25,445.50 and 54,272

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Solution

The third proportional to 25,445.50 and 54,272 is: 115,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,445.50 : 54,272 = 54,272 : x
  2. Step 2: Convert to fraction form
    25,445.50/54,272 = 54,272/x
  3. Step 3: Cross multiply
    25,445.50x = 54,272 × 54,272
  4. Step 4: Simplify right side
    25,445.50x = 2,945,449,984
  5. Step 5: Solve for x
    x = 2,945,449,984/25,445.50
  6. Step 6: Final answer
    x = 115,755.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.