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Finding the Third Proportional to 5,184.75 and 6,819.75

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Solution

The third proportional to 5,184.75 and 6,819.75 is: 8,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.75 : 6,819.75 = 6,819.75 : x
  2. Step 2: Convert to fraction form
    5,184.75/6,819.75 = 6,819.75/x
  3. Step 3: Cross multiply
    5,184.75x = 6,819.75 × 6,819.75
  4. Step 4: Simplify right side
    5,184.75x = 46,508,990.06
  5. Step 5: Solve for x
    x = 46,508,990.06/5,184.75
  6. Step 6: Final answer
    x = 8,970.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.