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Finding the Third Proportional to 5,206.94 and 8,483.17

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Solution

The third proportional to 5,206.94 and 8,483.17 is: 13,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.94 : 8,483.17 = 8,483.17 : x
  2. Step 2: Convert to fraction form
    5,206.94/8,483.17 = 8,483.17/x
  3. Step 3: Cross multiply
    5,206.94x = 8,483.17 × 8,483.17
  4. Step 4: Simplify right side
    5,206.94x = 71,964,138.79
  5. Step 5: Solve for x
    x = 71,964,138.79/5,206.94
  6. Step 6: Final answer
    x = 13,820.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.