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Finding the Third Proportional to 3,076.59 and 6,716.81

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Solution

The third proportional to 3,076.59 and 6,716.81 is: 14,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.59 : 6,716.81 = 6,716.81 : x
  2. Step 2: Convert to fraction form
    3,076.59/6,716.81 = 6,716.81/x
  3. Step 3: Cross multiply
    3,076.59x = 6,716.81 × 6,716.81
  4. Step 4: Simplify right side
    3,076.59x = 45,115,570.16
  5. Step 5: Solve for x
    x = 45,115,570.16/3,076.59
  6. Step 6: Final answer
    x = 14,664.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.