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Finding the Third Proportional to 7,530 and 11,003

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Solution

The third proportional to 7,530 and 11,003 is: 16,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530 : 11,003 = 11,003 : x
  2. Step 2: Convert to fraction form
    7,530/11,003 = 11,003/x
  3. Step 3: Cross multiply
    7,530x = 11,003 × 11,003
  4. Step 4: Simplify right side
    7,530x = 121,066,009
  5. Step 5: Solve for x
    x = 121,066,009/7,530
  6. Step 6: Final answer
    x = 16,077.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.