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Finding the Third Proportional to 5,052.94 and 7,969.22

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Solution

The third proportional to 5,052.94 and 7,969.22 is: 12,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.94 : 7,969.22 = 7,969.22 : x
  2. Step 2: Convert to fraction form
    5,052.94/7,969.22 = 7,969.22/x
  3. Step 3: Cross multiply
    5,052.94x = 7,969.22 × 7,969.22
  4. Step 4: Simplify right side
    5,052.94x = 63,508,447.49
  5. Step 5: Solve for x
    x = 63,508,447.49/5,052.94
  6. Step 6: Final answer
    x = 12,568.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.