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Finding the Third Proportional to 15,513.75 and 32,855.25

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Solution

The third proportional to 15,513.75 and 32,855.25 is: 69,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.75 : 32,855.25 = 32,855.25 : x
  2. Step 2: Convert to fraction form
    15,513.75/32,855.25 = 32,855.25/x
  3. Step 3: Cross multiply
    15,513.75x = 32,855.25 × 32,855.25
  4. Step 4: Simplify right side
    15,513.75x = 1,079,467,452.56
  5. Step 5: Solve for x
    x = 1,079,467,452.56/15,513.75
  6. Step 6: Final answer
    x = 69,581.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.