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Finding the Third Proportional to 3,293.44 and 7,220.81

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Solution

The third proportional to 3,293.44 and 7,220.81 is: 15,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.44 : 7,220.81 = 7,220.81 : x
  2. Step 2: Convert to fraction form
    3,293.44/7,220.81 = 7,220.81/x
  3. Step 3: Cross multiply
    3,293.44x = 7,220.81 × 7,220.81
  4. Step 4: Simplify right side
    3,293.44x = 52,140,133.16
  5. Step 5: Solve for x
    x = 52,140,133.16/3,293.44
  6. Step 6: Final answer
    x = 15,831.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.