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Finding the Third Proportional to 2,632.50 and 3,867.75

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Solution

The third proportional to 2,632.50 and 3,867.75 is: 5,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.50 : 3,867.75 = 3,867.75 : x
  2. Step 2: Convert to fraction form
    2,632.50/3,867.75 = 3,867.75/x
  3. Step 3: Cross multiply
    2,632.50x = 3,867.75 × 3,867.75
  4. Step 4: Simplify right side
    2,632.50x = 14,959,490.06
  5. Step 5: Solve for x
    x = 14,959,490.06/2,632.50
  6. Step 6: Final answer
    x = 5,682.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.