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Finding the Third Proportional to 18,122.25 and 25,520.25

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Solution

The third proportional to 18,122.25 and 25,520.25 is: 35,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122.25 : 25,520.25 = 25,520.25 : x
  2. Step 2: Convert to fraction form
    18,122.25/25,520.25 = 25,520.25/x
  3. Step 3: Cross multiply
    18,122.25x = 25,520.25 × 25,520.25
  4. Step 4: Simplify right side
    18,122.25x = 651,283,160.06
  5. Step 5: Solve for x
    x = 651,283,160.06/18,122.25
  6. Step 6: Final answer
    x = 35,938.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.