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Finding the Third Proportional to 7,180 and 11,033.25

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Solution

The third proportional to 7,180 and 11,033.25 is: 16,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180 : 11,033.25 = 11,033.25 : x
  2. Step 2: Convert to fraction form
    7,180/11,033.25 = 11,033.25/x
  3. Step 3: Cross multiply
    7,180x = 11,033.25 × 11,033.25
  4. Step 4: Simplify right side
    7,180x = 121,732,605.56
  5. Step 5: Solve for x
    x = 121,732,605.56/7,180
  6. Step 6: Final answer
    x = 16,954.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.