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Finding the Third Proportional to 3,160.90 and 6,152.84

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Solution

The third proportional to 3,160.90 and 6,152.84 is: 11,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.90 : 6,152.84 = 6,152.84 : x
  2. Step 2: Convert to fraction form
    3,160.90/6,152.84 = 6,152.84/x
  3. Step 3: Cross multiply
    3,160.90x = 6,152.84 × 6,152.84
  4. Step 4: Simplify right side
    3,160.90x = 37,857,390.07
  5. Step 5: Solve for x
    x = 37,857,390.07/3,160.90
  6. Step 6: Final answer
    x = 11,976.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.