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Finding the Third Proportional to 15,002.75 and 32,650.50

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Solution

The third proportional to 15,002.75 and 32,650.50 is: 71,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.75 : 32,650.50 = 32,650.50 : x
  2. Step 2: Convert to fraction form
    15,002.75/32,650.50 = 32,650.50/x
  3. Step 3: Cross multiply
    15,002.75x = 32,650.50 × 32,650.50
  4. Step 4: Simplify right side
    15,002.75x = 1,066,055,150.25
  5. Step 5: Solve for x
    x = 1,066,055,150.25/15,002.75
  6. Step 6: Final answer
    x = 71,057.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.