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Finding the Third Proportional to 2,671.69 and 5,707.69

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Solution

The third proportional to 2,671.69 and 5,707.69 is: 12,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.69 : 5,707.69 = 5,707.69 : x
  2. Step 2: Convert to fraction form
    2,671.69/5,707.69 = 5,707.69/x
  3. Step 3: Cross multiply
    2,671.69x = 5,707.69 × 5,707.69
  4. Step 4: Simplify right side
    2,671.69x = 32,577,696.60
  5. Step 5: Solve for x
    x = 32,577,696.60/2,671.69
  6. Step 6: Final answer
    x = 12,193.68

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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.