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Finding the Third Proportional to 4,395.94 and 5,966.16

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Solution

The third proportional to 4,395.94 and 5,966.16 is: 8,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395.94 : 5,966.16 = 5,966.16 : x
  2. Step 2: Convert to fraction form
    4,395.94/5,966.16 = 5,966.16/x
  3. Step 3: Cross multiply
    4,395.94x = 5,966.16 × 5,966.16
  4. Step 4: Simplify right side
    4,395.94x = 35,595,020.40
  5. Step 5: Solve for x
    x = 35,595,020.40/4,395.94
  6. Step 6: Final answer
    x = 8,097.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.