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Finding the Third Proportional to 2,831.84 and 6,119.30

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Solution

The third proportional to 2,831.84 and 6,119.30 is: 13,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.84 : 6,119.30 = 6,119.30 : x
  2. Step 2: Convert to fraction form
    2,831.84/6,119.30 = 6,119.30/x
  3. Step 3: Cross multiply
    2,831.84x = 6,119.30 × 6,119.30
  4. Step 4: Simplify right side
    2,831.84x = 37,445,794.24
  5. Step 5: Solve for x
    x = 37,445,794.24/2,831.84
  6. Step 6: Final answer
    x = 13,223.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.