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Finding the Third Proportional to 15,452.25 and 28,697.25

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Solution

The third proportional to 15,452.25 and 28,697.25 is: 53,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,452.25 : 28,697.25 = 28,697.25 : x
  2. Step 2: Convert to fraction form
    15,452.25/28,697.25 = 28,697.25/x
  3. Step 3: Cross multiply
    15,452.25x = 28,697.25 × 28,697.25
  4. Step 4: Simplify right side
    15,452.25x = 823,532,157.56
  5. Step 5: Solve for x
    x = 823,532,157.56/15,452.25
  6. Step 6: Final answer
    x = 53,295.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.