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Finding the Third Proportional to 4,166.44 and 7,831.69

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Solution

The third proportional to 4,166.44 and 7,831.69 is: 14,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 7,831.69 = 7,831.69 : x
  2. Step 2: Convert to fraction form
    4,166.44/7,831.69 = 7,831.69/x
  3. Step 3: Cross multiply
    4,166.44x = 7,831.69 × 7,831.69
  4. Step 4: Simplify right side
    4,166.44x = 61,335,329.10
  5. Step 5: Solve for x
    x = 61,335,329.10/4,166.44
  6. Step 6: Final answer
    x = 14,721.29

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.