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Finding the Third Proportional to 2,453.25 and 5,316.75

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Solution

The third proportional to 2,453.25 and 5,316.75 is: 11,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.25 : 5,316.75 = 5,316.75 : x
  2. Step 2: Convert to fraction form
    2,453.25/5,316.75 = 5,316.75/x
  3. Step 3: Cross multiply
    2,453.25x = 5,316.75 × 5,316.75
  4. Step 4: Simplify right side
    2,453.25x = 28,267,830.56
  5. Step 5: Solve for x
    x = 28,267,830.56/2,453.25
  6. Step 6: Final answer
    x = 11,522.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.