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Finding the Third Proportional to 11,130 and 17,333.25

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Solution

The third proportional to 11,130 and 17,333.25 is: 26,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130 : 17,333.25 = 17,333.25 : x
  2. Step 2: Convert to fraction form
    11,130/17,333.25 = 17,333.25/x
  3. Step 3: Cross multiply
    11,130x = 17,333.25 × 17,333.25
  4. Step 4: Simplify right side
    11,130x = 300,441,555.56
  5. Step 5: Solve for x
    x = 300,441,555.56/11,130
  6. Step 6: Final answer
    x = 26,993.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.