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Finding the Third Proportional to 3,288.94 and 7,124.63

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Solution

The third proportional to 3,288.94 and 7,124.63 is: 15,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.94 : 7,124.63 = 7,124.63 : x
  2. Step 2: Convert to fraction form
    3,288.94/7,124.63 = 7,124.63/x
  3. Step 3: Cross multiply
    3,288.94x = 7,124.63 × 7,124.63
  4. Step 4: Simplify right side
    3,288.94x = 50,760,281.39
  5. Step 5: Solve for x
    x = 50,760,281.39/3,288.94
  6. Step 6: Final answer
    x = 15,433.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.