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Finding the Third Proportional to 4,193.89 and 8,967.98

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Solution

The third proportional to 4,193.89 and 8,967.98 is: 19,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.89 : 8,967.98 = 8,967.98 : x
  2. Step 2: Convert to fraction form
    4,193.89/8,967.98 = 8,967.98/x
  3. Step 3: Cross multiply
    4,193.89x = 8,967.98 × 8,967.98
  4. Step 4: Simplify right side
    4,193.89x = 80,424,691.20
  5. Step 5: Solve for x
    x = 80,424,691.20/4,193.89
  6. Step 6: Final answer
    x = 19,176.65

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