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Finding the Third Proportional to 3,225.38 and 5,025.94

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Solution

The third proportional to 3,225.38 and 5,025.94 is: 7,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.38 : 5,025.94 = 5,025.94 : x
  2. Step 2: Convert to fraction form
    3,225.38/5,025.94 = 5,025.94/x
  3. Step 3: Cross multiply
    3,225.38x = 5,025.94 × 5,025.94
  4. Step 4: Simplify right side
    3,225.38x = 25,260,047.75
  5. Step 5: Solve for x
    x = 25,260,047.75/3,225.38
  6. Step 6: Final answer
    x = 7,831.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.