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Finding the Third Proportional to 2,275.91 and 3,025.16

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Solution

The third proportional to 2,275.91 and 3,025.16 is: 4,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.91 : 3,025.16 = 3,025.16 : x
  2. Step 2: Convert to fraction form
    2,275.91/3,025.16 = 3,025.16/x
  3. Step 3: Cross multiply
    2,275.91x = 3,025.16 × 3,025.16
  4. Step 4: Simplify right side
    2,275.91x = 9,151,593.97
  5. Step 5: Solve for x
    x = 9,151,593.97/2,275.91
  6. Step 6: Final answer
    x = 4,021.07

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.