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Finding the Third Proportional to 5,958.84 and 13,107.94

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Solution

The third proportional to 5,958.84 and 13,107.94 is: 28,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.84 : 13,107.94 = 13,107.94 : x
  2. Step 2: Convert to fraction form
    5,958.84/13,107.94 = 13,107.94/x
  3. Step 3: Cross multiply
    5,958.84x = 13,107.94 × 13,107.94
  4. Step 4: Simplify right side
    5,958.84x = 171,818,025.50
  5. Step 5: Solve for x
    x = 171,818,025.50/5,958.84
  6. Step 6: Final answer
    x = 28,834.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.