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Finding the Third Proportional to 15,201.75 and 32,651.25

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Solution

The third proportional to 15,201.75 and 32,651.25 is: 70,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.75 : 32,651.25 = 32,651.25 : x
  2. Step 2: Convert to fraction form
    15,201.75/32,651.25 = 32,651.25/x
  3. Step 3: Cross multiply
    15,201.75x = 32,651.25 × 32,651.25
  4. Step 4: Simplify right side
    15,201.75x = 1,066,104,126.56
  5. Step 5: Solve for x
    x = 1,066,104,126.56/15,201.75
  6. Step 6: Final answer
    x = 70,130.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.