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Finding the Third Proportional to 2,479.36 and 6,352.17

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Solution

The third proportional to 2,479.36 and 6,352.17 is: 16,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.36 : 6,352.17 = 6,352.17 : x
  2. Step 2: Convert to fraction form
    2,479.36/6,352.17 = 6,352.17/x
  3. Step 3: Cross multiply
    2,479.36x = 6,352.17 × 6,352.17
  4. Step 4: Simplify right side
    2,479.36x = 40,350,087.53
  5. Step 5: Solve for x
    x = 40,350,087.53/2,479.36
  6. Step 6: Final answer
    x = 16,274.40

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.