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Finding the Third Proportional to 12,507.50 and 17,591.25

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Solution

The third proportional to 12,507.50 and 17,591.25 is: 24,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.50 : 17,591.25 = 17,591.25 : x
  2. Step 2: Convert to fraction form
    12,507.50/17,591.25 = 17,591.25/x
  3. Step 3: Cross multiply
    12,507.50x = 17,591.25 × 17,591.25
  4. Step 4: Simplify right side
    12,507.50x = 309,452,076.56
  5. Step 5: Solve for x
    x = 309,452,076.56/12,507.50
  6. Step 6: Final answer
    x = 24,741.32

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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.