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Finding the Third Proportional to 5,399.16 and 12,711.94

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Solution

The third proportional to 5,399.16 and 12,711.94 is: 29,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.16 : 12,711.94 = 12,711.94 : x
  2. Step 2: Convert to fraction form
    5,399.16/12,711.94 = 12,711.94/x
  3. Step 3: Cross multiply
    5,399.16x = 12,711.94 × 12,711.94
  4. Step 4: Simplify right side
    5,399.16x = 161,593,355.00
  5. Step 5: Solve for x
    x = 161,593,355.00/5,399.16
  6. Step 6: Final answer
    x = 29,929.37

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.