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Finding the Third Proportional to 4,473.25 and 9,831.50

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Solution

The third proportional to 4,473.25 and 9,831.50 is: 21,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.25 : 9,831.50 = 9,831.50 : x
  2. Step 2: Convert to fraction form
    4,473.25/9,831.50 = 9,831.50/x
  3. Step 3: Cross multiply
    4,473.25x = 9,831.50 × 9,831.50
  4. Step 4: Simplify right side
    4,473.25x = 96,658,392.25
  5. Step 5: Solve for x
    x = 96,658,392.25/4,473.25
  6. Step 6: Final answer
    x = 21,608.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.