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Finding the Third Proportional to 1,480.45 and 3,184.92

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Solution

The third proportional to 1,480.45 and 3,184.92 is: 6,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.45 : 3,184.92 = 3,184.92 : x
  2. Step 2: Convert to fraction form
    1,480.45/3,184.92 = 3,184.92/x
  3. Step 3: Cross multiply
    1,480.45x = 3,184.92 × 3,184.92
  4. Step 4: Simplify right side
    1,480.45x = 10,143,727.35
  5. Step 5: Solve for x
    x = 10,143,727.35/1,480.45
  6. Step 6: Final answer
    x = 6,851.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.