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Finding the Third Proportional to 7,831.48 and 17,220.73

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Solution

The third proportional to 7,831.48 and 17,220.73 is: 37,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.48 : 17,220.73 = 17,220.73 : x
  2. Step 2: Convert to fraction form
    7,831.48/17,220.73 = 17,220.73/x
  3. Step 3: Cross multiply
    7,831.48x = 17,220.73 × 17,220.73
  4. Step 4: Simplify right side
    7,831.48x = 296,553,423.34
  5. Step 5: Solve for x
    x = 296,553,423.34/7,831.48
  6. Step 6: Final answer
    x = 37,866.86

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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.