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Finding the Third Proportional to 9,520.03 and 12,866.34

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Solution

The third proportional to 9,520.03 and 12,866.34 is: 17,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.03 : 12,866.34 = 12,866.34 : x
  2. Step 2: Convert to fraction form
    9,520.03/12,866.34 = 12,866.34/x
  3. Step 3: Cross multiply
    9,520.03x = 12,866.34 × 12,866.34
  4. Step 4: Simplify right side
    9,520.03x = 165,542,801.49
  5. Step 5: Solve for x
    x = 165,542,801.49/9,520.03
  6. Step 6: Final answer
    x = 17,388.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.