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Finding the Third Proportional to 4,493.60 and 9,476.29

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Solution

The third proportional to 4,493.60 and 9,476.29 is: 19,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.60 : 9,476.29 = 9,476.29 : x
  2. Step 2: Convert to fraction form
    4,493.60/9,476.29 = 9,476.29/x
  3. Step 3: Cross multiply
    4,493.60x = 9,476.29 × 9,476.29
  4. Step 4: Simplify right side
    4,493.60x = 89,800,035.89
  5. Step 5: Solve for x
    x = 89,800,035.89/4,493.60
  6. Step 6: Final answer
    x = 19,983.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.