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Finding the Third Proportional to 4,989.23 and 8,315.09

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Solution

The third proportional to 4,989.23 and 8,315.09 is: 13,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.23 : 8,315.09 = 8,315.09 : x
  2. Step 2: Convert to fraction form
    4,989.23/8,315.09 = 8,315.09/x
  3. Step 3: Cross multiply
    4,989.23x = 8,315.09 × 8,315.09
  4. Step 4: Simplify right side
    4,989.23x = 69,140,654.15
  5. Step 5: Solve for x
    x = 69,140,654.15/4,989.23
  6. Step 6: Final answer
    x = 13,857.97

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.