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Finding the Third Proportional to 6,831.84 and 14,612.06

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Solution

The third proportional to 6,831.84 and 14,612.06 is: 31,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.84 : 14,612.06 = 14,612.06 : x
  2. Step 2: Convert to fraction form
    6,831.84/14,612.06 = 14,612.06/x
  3. Step 3: Cross multiply
    6,831.84x = 14,612.06 × 14,612.06
  4. Step 4: Simplify right side
    6,831.84x = 213,512,370.50
  5. Step 5: Solve for x
    x = 213,512,370.50/6,831.84
  6. Step 6: Final answer
    x = 31,252.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.