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Finding the Third Proportional to 4,475.09 and 9,603.72

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Solution

The third proportional to 4,475.09 and 9,603.72 is: 20,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.09 : 9,603.72 = 9,603.72 : x
  2. Step 2: Convert to fraction form
    4,475.09/9,603.72 = 9,603.72/x
  3. Step 3: Cross multiply
    4,475.09x = 9,603.72 × 9,603.72
  4. Step 4: Simplify right side
    4,475.09x = 92,231,451.34
  5. Step 5: Solve for x
    x = 92,231,451.34/4,475.09
  6. Step 6: Final answer
    x = 20,609.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.