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Finding the Third Proportional to 3,087.81 and 6,790.71

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Solution

The third proportional to 3,087.81 and 6,790.71 is: 14,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.81 : 6,790.71 = 6,790.71 : x
  2. Step 2: Convert to fraction form
    3,087.81/6,790.71 = 6,790.71/x
  3. Step 3: Cross multiply
    3,087.81x = 6,790.71 × 6,790.71
  4. Step 4: Simplify right side
    3,087.81x = 46,113,755.04
  5. Step 5: Solve for x
    x = 46,113,755.04/3,087.81
  6. Step 6: Final answer
    x = 14,934.14

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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.