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Finding the Third Proportional to 1,480 and 4,027

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Solution

The third proportional to 1,480 and 4,027 is: 10,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480 : 4,027 = 4,027 : x
  2. Step 2: Convert to fraction form
    1,480/4,027 = 4,027/x
  3. Step 3: Cross multiply
    1,480x = 4,027 × 4,027
  4. Step 4: Simplify right side
    1,480x = 16,216,729
  5. Step 5: Solve for x
    x = 16,216,729/1,480
  6. Step 6: Final answer
    x = 10,957.25

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.