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Finding the Third Proportional to 9,353 and 20,003

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Solution

The third proportional to 9,353 and 20,003 is: 42,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353 : 20,003 = 20,003 : x
  2. Step 2: Convert to fraction form
    9,353/20,003 = 20,003/x
  3. Step 3: Cross multiply
    9,353x = 20,003 × 20,003
  4. Step 4: Simplify right side
    9,353x = 400,120,009
  5. Step 5: Solve for x
    x = 400,120,009/9,353
  6. Step 6: Final answer
    x = 42,779.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.